SlideShare a Scribd company logo
1 of 16
Download to read offline
Trigonometric Ratios  in Right Triangles
Trigonometric Ratios  are based on the Concept of  Similar Triangles!
All 45º- 45º- 90º Triangles are Similar! 45 º 2  2  45 º 1  1  45 º 1
All 30º- 60º- 90º   Triangles are Similar! 1 ½ 2 4 60º  30º 60º  30º 2 60º  30º 1
All 30º- 60º- 90º   Triangles are Similar! 10 60º  30º 5 2 60º  30º 1 1 60º  30º
A triangle in which one angle is a right angle is called a  right triangle .  The side opposite the right angle is called the  hypotenuse , and the remaining two sides are called the  legs  of the triangle. c b a
Naming Sides of Right Triangles  Hypotenuse  Side Adjacent  Side Opposite  
The Tangent Ratio There are a total of six ratios that can be made with the three sides.  Each has a specific name.  Side Adjacent   Hypotenuse Side Opposite   Tangent   
The Six Trigonometric Ratios (The SOHCAHTOA model) S  O  H  C  A  H  T  O  A  Side Adjacent   Hypotenuse Side Opposite  
The Six Trigonometric Ratios The Cosecant, Secant, and Cotangent of     are the Reciprocals of  the Sine, Cosine,and Tangent of    Side Adjacent   Hypotenuse Side Opposite  
Reciprocal Identities Quotient Identities
 
Find the value of each of the six trigonometric functions of the angle  Adjacent 12 13 c  = Hypotenuse = 13 b   = Opposite = 12
 
25 h h  = 23.49
Solving a Problem with the Tangent Ratio 60º  53 ft h = ? We know the angle and the  side adjacent to 60º.  We want to  know the opposite side.  Use the tangent ratio: Why? 1 2

More Related Content

What's hot

Trigonometric Ratios
Trigonometric RatiosTrigonometric Ratios
Trigonometric Ratiosliliana1993
 
Arc Length And Area of a Sector
Arc Length And Area of a SectorArc Length And Area of a Sector
Arc Length And Area of a SectorJosel Jalon
 
Surface Area and Volume
Surface Area and VolumeSurface Area and Volume
Surface Area and VolumeJosel Jalon
 
Area of sectors & segment ananya
Area of sectors & segment ananyaArea of sectors & segment ananya
Area of sectors & segment ananyaAnanya Jain
 
Inscribed Angle and Intercepted Arc
Inscribed Angle and Intercepted ArcInscribed Angle and Intercepted Arc
Inscribed Angle and Intercepted Arccarren yarcia
 
Presentation (distance formula)
Presentation (distance formula)Presentation (distance formula)
Presentation (distance formula)jennytuazon01630
 
Distance between two points
Distance between two pointsDistance between two points
Distance between two pointslothomas
 
Arc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circleArc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circleJoey Valdriz
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometryJoey Vig
 
Special Right Triangles 1
Special Right Triangles 1Special Right Triangles 1
Special Right Triangles 1Fidelfo Moral
 
Pre-5.1 - trigonometry ratios in right triangle and special right triangles.ppt
Pre-5.1 - trigonometry ratios in right triangle and special right triangles.pptPre-5.1 - trigonometry ratios in right triangle and special right triangles.ppt
Pre-5.1 - trigonometry ratios in right triangle and special right triangles.pptMariOsnolaSan
 
Plotting of Points on the Coordinate Plane
Plotting of Points on the Coordinate PlanePlotting of Points on the Coordinate Plane
Plotting of Points on the Coordinate PlaneJoey Valdriz
 
5.4 Solving Right Triangles
5.4 Solving Right Triangles5.4 Solving Right Triangles
5.4 Solving Right Trianglessmiller5
 
Verifying trigonometric identities
Verifying trigonometric identitiesVerifying trigonometric identities
Verifying trigonometric identitiesJessica Garcia
 
1.1.1C Midpoint and Distance Formulas
1.1.1C Midpoint and Distance Formulas1.1.1C Midpoint and Distance Formulas
1.1.1C Midpoint and Distance Formulassmiller5
 

What's hot (20)

Trigonometric Ratios
Trigonometric RatiosTrigonometric Ratios
Trigonometric Ratios
 
Arc Length And Area of a Sector
Arc Length And Area of a SectorArc Length And Area of a Sector
Arc Length And Area of a Sector
 
Surface Area and Volume
Surface Area and VolumeSurface Area and Volume
Surface Area and Volume
 
ASA, SAS,AAS,SSS
ASA, SAS,AAS,SSSASA, SAS,AAS,SSS
ASA, SAS,AAS,SSS
 
distance formula
distance formuladistance formula
distance formula
 
Area of sectors & segment ananya
Area of sectors & segment ananyaArea of sectors & segment ananya
Area of sectors & segment ananya
 
Inscribed Angle and Intercepted Arc
Inscribed Angle and Intercepted ArcInscribed Angle and Intercepted Arc
Inscribed Angle and Intercepted Arc
 
Presentation (distance formula)
Presentation (distance formula)Presentation (distance formula)
Presentation (distance formula)
 
Distance between two points
Distance between two pointsDistance between two points
Distance between two points
 
Arc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circleArc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circle
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
 
Math 8 – congruent triangles
Math 8 – congruent trianglesMath 8 – congruent triangles
Math 8 – congruent triangles
 
Special Right Triangles 1
Special Right Triangles 1Special Right Triangles 1
Special Right Triangles 1
 
Pre-5.1 - trigonometry ratios in right triangle and special right triangles.ppt
Pre-5.1 - trigonometry ratios in right triangle and special right triangles.pptPre-5.1 - trigonometry ratios in right triangle and special right triangles.ppt
Pre-5.1 - trigonometry ratios in right triangle and special right triangles.ppt
 
Plotting of Points on the Coordinate Plane
Plotting of Points on the Coordinate PlanePlotting of Points on the Coordinate Plane
Plotting of Points on the Coordinate Plane
 
5.4 Solving Right Triangles
5.4 Solving Right Triangles5.4 Solving Right Triangles
5.4 Solving Right Triangles
 
Verifying trigonometric identities
Verifying trigonometric identitiesVerifying trigonometric identities
Verifying trigonometric identities
 
1.1.1C Midpoint and Distance Formulas
1.1.1C Midpoint and Distance Formulas1.1.1C Midpoint and Distance Formulas
1.1.1C Midpoint and Distance Formulas
 
Polynomial equations
Polynomial equationsPolynomial equations
Polynomial equations
 
Trigonometry Functions
Trigonometry FunctionsTrigonometry Functions
Trigonometry Functions
 

Viewers also liked

Obj. 40 Trigonometry
Obj. 40 TrigonometryObj. 40 Trigonometry
Obj. 40 Trigonometrysmiller5
 
right triangles Application
right triangles Applicationright triangles Application
right triangles Applicationrey castro
 
Special right triangle lesson
Special right triangle lessonSpecial right triangle lesson
Special right triangle lessonmhubbard6
 
Statistics in Research
Statistics in ResearchStatistics in Research
Statistics in ResearchKent Kawashima
 
Trigonometric ratios
Trigonometric ratiosTrigonometric ratios
Trigonometric ratiosAD Firdausi
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometryMolly Mahoney
 
Measures of Central Tendency and Variability for Grouped Data
Measures of Central Tendency and Variability for Grouped DataMeasures of Central Tendency and Variability for Grouped Data
Measures of Central Tendency and Variability for Grouped Datasheisirenebkm
 
angle of elevation and depression
 angle of elevation and depression angle of elevation and depression
angle of elevation and depressionWenny Wang Wu
 
Lesson 6 subtraction of polynomials
Lesson 6 subtraction of polynomialsLesson 6 subtraction of polynomials
Lesson 6 subtraction of polynomialsAlex Morron
 
Mathematics 9 Six Trigonometric Ratios
Mathematics 9 Six Trigonometric RatiosMathematics 9 Six Trigonometric Ratios
Mathematics 9 Six Trigonometric RatiosJuan Miguel Palero
 
Some applications of trigonometry
Some applications of trigonometrySome applications of trigonometry
Some applications of trigonometryDeepak Dalal
 
Integral Calculus
Integral CalculusIntegral Calculus
Integral Calculusitutor
 
7.8 Simple and Compound Interest
7.8 Simple and Compound Interest7.8 Simple and Compound Interest
7.8 Simple and Compound InterestJessca Lundin
 
Integrals and its applications
Integrals  and  its applicationsIntegrals  and  its applications
Integrals and its applicationsPoojith Chowdhary
 
Introduction to trigonometry 
Introduction to trigonometry      Introduction to trigonometry      
Introduction to trigonometry Gayathri Gaya
 
30 60 90 Day Sales Action Plan
30 60 90 Day Sales Action Plan 30 60 90 Day Sales Action Plan
30 60 90 Day Sales Action Plan Gordon Kiser
 

Viewers also liked (20)

Obj. 40 Trigonometry
Obj. 40 TrigonometryObj. 40 Trigonometry
Obj. 40 Trigonometry
 
right triangles Application
right triangles Applicationright triangles Application
right triangles Application
 
Geometry/Notes 7.5
Geometry/Notes 7.5Geometry/Notes 7.5
Geometry/Notes 7.5
 
Special right triangle lesson
Special right triangle lessonSpecial right triangle lesson
Special right triangle lesson
 
Statistics in Research
Statistics in ResearchStatistics in Research
Statistics in Research
 
Trigonometric ratios
Trigonometric ratiosTrigonometric ratios
Trigonometric ratios
 
Trig ratios
Trig ratiosTrig ratios
Trig ratios
 
Trigonometric ratios
Trigonometric ratiosTrigonometric ratios
Trigonometric ratios
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
 
Math12 lesson9
Math12 lesson9Math12 lesson9
Math12 lesson9
 
Measures of Central Tendency and Variability for Grouped Data
Measures of Central Tendency and Variability for Grouped DataMeasures of Central Tendency and Variability for Grouped Data
Measures of Central Tendency and Variability for Grouped Data
 
angle of elevation and depression
 angle of elevation and depression angle of elevation and depression
angle of elevation and depression
 
Lesson 6 subtraction of polynomials
Lesson 6 subtraction of polynomialsLesson 6 subtraction of polynomials
Lesson 6 subtraction of polynomials
 
Mathematics 9 Six Trigonometric Ratios
Mathematics 9 Six Trigonometric RatiosMathematics 9 Six Trigonometric Ratios
Mathematics 9 Six Trigonometric Ratios
 
Some applications of trigonometry
Some applications of trigonometrySome applications of trigonometry
Some applications of trigonometry
 
Integral Calculus
Integral CalculusIntegral Calculus
Integral Calculus
 
7.8 Simple and Compound Interest
7.8 Simple and Compound Interest7.8 Simple and Compound Interest
7.8 Simple and Compound Interest
 
Integrals and its applications
Integrals  and  its applicationsIntegrals  and  its applications
Integrals and its applications
 
Introduction to trigonometry 
Introduction to trigonometry      Introduction to trigonometry      
Introduction to trigonometry 
 
30 60 90 Day Sales Action Plan
30 60 90 Day Sales Action Plan 30 60 90 Day Sales Action Plan
30 60 90 Day Sales Action Plan
 

Similar to Right triangle trigonometry

Trigonometry
TrigonometryTrigonometry
TrigonometryAmy Patel
 
2 trigonometric ratios conglomerate keep
2 trigonometric ratios conglomerate   keep2 trigonometric ratios conglomerate   keep
2 trigonometric ratios conglomerate keepRamesh Kumar
 
Trig mini unit
Trig mini unitTrig mini unit
Trig mini unithisema01
 
นำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริงนำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริงNittaya Noinan
 
นำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริงนำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริงNittaya Noinan
 
Trigonometric Ratios of Special Angles.pptx
Trigonometric Ratios of Special Angles.pptxTrigonometric Ratios of Special Angles.pptx
Trigonometric Ratios of Special Angles.pptxKaz Aligato
 
Precalculus August 28 trigonometry ratios in right triangle and special righ...
Precalculus August 28  trigonometry ratios in right triangle and special righ...Precalculus August 28  trigonometry ratios in right triangle and special righ...
Precalculus August 28 trigonometry ratios in right triangle and special righ...2236531
 
8.2 Trigonometry
8.2 Trigonometry8.2 Trigonometry
8.2 Trigonometrysmiller5
 
Putter King Education - Math (Level 3)
Putter King Education - Math (Level 3)Putter King Education - Math (Level 3)
Putter King Education - Math (Level 3)putterking
 
8 8b Trig Intro
8 8b Trig Intro8 8b Trig Intro
8 8b Trig Introtaco40
 
Basic trigonometry ideas
Basic trigonometry ideasBasic trigonometry ideas
Basic trigonometry ideasHuda Rayeen
 
DEMO-TRIG-FUNCTION-triginometry special angles.pptx
DEMO-TRIG-FUNCTION-triginometry special angles.pptxDEMO-TRIG-FUNCTION-triginometry special angles.pptx
DEMO-TRIG-FUNCTION-triginometry special angles.pptxAngeliqueVicente1
 
4.12.1 Trigonometry
4.12.1 Trigonometry4.12.1 Trigonometry
4.12.1 Trigonometrysmiller5
 
Module 7 triangle trigonometry super final
Module 7 triangle trigonometry super finalModule 7 triangle trigonometry super final
Module 7 triangle trigonometry super finalDods Dodong
 

Similar to Right triangle trigonometry (20)

Trigonometry
TrigonometryTrigonometry
Trigonometry
 
2 trigonometric ratios conglomerate keep
2 trigonometric ratios conglomerate   keep2 trigonometric ratios conglomerate   keep
2 trigonometric ratios conglomerate keep
 
0
00
0
 
Trig 1 notes
Trig 1 notesTrig 1 notes
Trig 1 notes
 
Trig 1 notes
Trig 1 notesTrig 1 notes
Trig 1 notes
 
Trig mini unit
Trig mini unitTrig mini unit
Trig mini unit
 
นำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริงนำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริง
 
Hprec6 1
Hprec6 1Hprec6 1
Hprec6 1
 
นำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริงนำเสนอตรีโกณมิติจริง
นำเสนอตรีโกณมิติจริง
 
Trigonometric Ratios of Special Angles.pptx
Trigonometric Ratios of Special Angles.pptxTrigonometric Ratios of Special Angles.pptx
Trigonometric Ratios of Special Angles.pptx
 
Precalculus August 28 trigonometry ratios in right triangle and special righ...
Precalculus August 28  trigonometry ratios in right triangle and special righ...Precalculus August 28  trigonometry ratios in right triangle and special righ...
Precalculus August 28 trigonometry ratios in right triangle and special righ...
 
8.2 Trigonometry
8.2 Trigonometry8.2 Trigonometry
8.2 Trigonometry
 
Putter King Education - Math (Level 3)
Putter King Education - Math (Level 3)Putter King Education - Math (Level 3)
Putter King Education - Math (Level 3)
 
8 8b Trig Intro
8 8b Trig Intro8 8b Trig Intro
8 8b Trig Intro
 
Basic trigonometry ideas
Basic trigonometry ideasBasic trigonometry ideas
Basic trigonometry ideas
 
Trigonometry part 1
Trigonometry part 1Trigonometry part 1
Trigonometry part 1
 
DEMO-TRIG-FUNCTION-triginometry special angles.pptx
DEMO-TRIG-FUNCTION-triginometry special angles.pptxDEMO-TRIG-FUNCTION-triginometry special angles.pptx
DEMO-TRIG-FUNCTION-triginometry special angles.pptx
 
4.12.1 Trigonometry
4.12.1 Trigonometry4.12.1 Trigonometry
4.12.1 Trigonometry
 
Module 7 triangle trigonometry super final
Module 7 triangle trigonometry super finalModule 7 triangle trigonometry super final
Module 7 triangle trigonometry super final
 
Trigonometry
Trigonometry Trigonometry
Trigonometry
 

More from Jessica Garcia

Test 1 a_ratios_and_proportional_reasoning
Test 1 a_ratios_and_proportional_reasoningTest 1 a_ratios_and_proportional_reasoning
Test 1 a_ratios_and_proportional_reasoningJessica Garcia
 
Unit 2 Proportions Reasoning Rubric
Unit 2 Proportions Reasoning RubricUnit 2 Proportions Reasoning Rubric
Unit 2 Proportions Reasoning RubricJessica Garcia
 
Throw a dinner party report
Throw a dinner party reportThrow a dinner party report
Throw a dinner party reportJessica Garcia
 
Reteach constant rate of change
Reteach constant rate of changeReteach constant rate of change
Reteach constant rate of changeJessica Garcia
 
Skills practice constant rate of change
Skills practice constant rate of changeSkills practice constant rate of change
Skills practice constant rate of changeJessica Garcia
 
Rate of change and slope
Rate of change and slopeRate of change and slope
Rate of change and slopeJessica Garcia
 
How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...
How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...
How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...Jessica Garcia
 
7th daily 10 13-14 rates and unit rates
7th daily 10 13-14 rates and unit rates7th daily 10 13-14 rates and unit rates
7th daily 10 13-14 rates and unit ratesJessica Garcia
 
7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long division7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long divisionJessica Garcia
 
7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long division7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long divisionJessica Garcia
 
Part 1: Vocabulary; How do you solve proportions?
Part 1: Vocabulary; How do you solve proportions?  Part 1: Vocabulary; How do you solve proportions?
Part 1: Vocabulary; How do you solve proportions? Jessica Garcia
 
Systems of equaions graphing
Systems of equaions graphingSystems of equaions graphing
Systems of equaions graphingJessica Garcia
 
Square and square roots
Square and square rootsSquare and square roots
Square and square rootsJessica Garcia
 
Jeopardy laws of exponents
Jeopardy laws of exponentsJeopardy laws of exponents
Jeopardy laws of exponentsJessica Garcia
 
Compute with scientific notation
Compute with scientific notationCompute with scientific notation
Compute with scientific notationJessica Garcia
 
Scientific notation ppt
Scientific notation pptScientific notation ppt
Scientific notation pptJessica Garcia
 

More from Jessica Garcia (20)

Test 1 a_ratios_and_proportional_reasoning
Test 1 a_ratios_and_proportional_reasoningTest 1 a_ratios_and_proportional_reasoning
Test 1 a_ratios_and_proportional_reasoning
 
Unit 2 Proportions Reasoning Rubric
Unit 2 Proportions Reasoning RubricUnit 2 Proportions Reasoning Rubric
Unit 2 Proportions Reasoning Rubric
 
Throw a dinner party report
Throw a dinner party reportThrow a dinner party report
Throw a dinner party report
 
Slope
SlopeSlope
Slope
 
Reteach constant rate of change
Reteach constant rate of changeReteach constant rate of change
Reteach constant rate of change
 
Skills practice constant rate of change
Skills practice constant rate of changeSkills practice constant rate of change
Skills practice constant rate of change
 
Rate of change
Rate of changeRate of change
Rate of change
 
Rate of change and slope
Rate of change and slopeRate of change and slope
Rate of change and slope
 
How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...
How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...
How do fractions apply to unit rates?7th daily 10 14-14 complex fractions and...
 
7th daily 10 13-14 rates and unit rates
7th daily 10 13-14 rates and unit rates7th daily 10 13-14 rates and unit rates
7th daily 10 13-14 rates and unit rates
 
7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long division7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long division
 
7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long division7th daily 10 10-14 proportions vocabulary and long division
7th daily 10 10-14 proportions vocabulary and long division
 
Part 1: Vocabulary; How do you solve proportions?
Part 1: Vocabulary; How do you solve proportions?  Part 1: Vocabulary; How do you solve proportions?
Part 1: Vocabulary; How do you solve proportions?
 
Systems of equaions graphing
Systems of equaions graphingSystems of equaions graphing
Systems of equaions graphing
 
Real numbers
Real numbersReal numbers
Real numbers
 
Cubes
CubesCubes
Cubes
 
Square and square roots
Square and square rootsSquare and square roots
Square and square roots
 
Jeopardy laws of exponents
Jeopardy laws of exponentsJeopardy laws of exponents
Jeopardy laws of exponents
 
Compute with scientific notation
Compute with scientific notationCompute with scientific notation
Compute with scientific notation
 
Scientific notation ppt
Scientific notation pptScientific notation ppt
Scientific notation ppt
 

Recently uploaded

DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRADUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRATanmoy Mishra
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsEugene Lysak
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptxraviapr7
 
M-2- General Reactions of amino acids.pptx
M-2- General Reactions of amino acids.pptxM-2- General Reactions of amino acids.pptx
M-2- General Reactions of amino acids.pptxDr. Santhosh Kumar. N
 
Benefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive EducationBenefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive EducationMJDuyan
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?TechSoup
 
AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxAUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxiammrhaywood
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxraviapr7
 
Quality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICEQuality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICESayali Powar
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.EnglishCEIPdeSigeiro
 
5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...CaraSkikne1
 
Presentation on the Basics of Writing. Writing a Paragraph
Presentation on the Basics of Writing. Writing a ParagraphPresentation on the Basics of Writing. Writing a Paragraph
Presentation on the Basics of Writing. Writing a ParagraphNetziValdelomar1
 
UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024UKCGE
 
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptxPractical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptxKatherine Villaluna
 
Human-AI Co-Creation of Worked Examples for Programming Classes
Human-AI Co-Creation of Worked Examples for Programming ClassesHuman-AI Co-Creation of Worked Examples for Programming Classes
Human-AI Co-Creation of Worked Examples for Programming ClassesMohammad Hassany
 
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...Nguyen Thanh Tu Collection
 
Practical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptxPractical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptxKatherine Villaluna
 

Recently uploaded (20)

DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRADUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
 
Finals of Kant get Marx 2.0 : a general politics quiz
Finals of Kant get Marx 2.0 : a general politics quizFinals of Kant get Marx 2.0 : a general politics quiz
Finals of Kant get Marx 2.0 : a general politics quiz
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George Wells
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
 
Personal Resilience in Project Management 2 - TV Edit 1a.pdf
Personal Resilience in Project Management 2 - TV Edit 1a.pdfPersonal Resilience in Project Management 2 - TV Edit 1a.pdf
Personal Resilience in Project Management 2 - TV Edit 1a.pdf
 
M-2- General Reactions of amino acids.pptx
M-2- General Reactions of amino acids.pptxM-2- General Reactions of amino acids.pptx
M-2- General Reactions of amino acids.pptx
 
Benefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive EducationBenefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive Education
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?
 
AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxAUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptx
 
Quality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICEQuality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICE
 
Prelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quizPrelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quiz
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.
 
5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...
 
Presentation on the Basics of Writing. Writing a Paragraph
Presentation on the Basics of Writing. Writing a ParagraphPresentation on the Basics of Writing. Writing a Paragraph
Presentation on the Basics of Writing. Writing a Paragraph
 
UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024UKCGE Parental Leave Discussion March 2024
UKCGE Parental Leave Discussion March 2024
 
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptxPractical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptx
 
Human-AI Co-Creation of Worked Examples for Programming Classes
Human-AI Co-Creation of Worked Examples for Programming ClassesHuman-AI Co-Creation of Worked Examples for Programming Classes
Human-AI Co-Creation of Worked Examples for Programming Classes
 
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
CHUYÊN ĐỀ DẠY THÊM TIẾNG ANH LỚP 11 - GLOBAL SUCCESS - NĂM HỌC 2023-2024 - HK...
 
Practical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptxPractical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptx
 

Right triangle trigonometry

  • 1. Trigonometric Ratios in Right Triangles
  • 2. Trigonometric Ratios are based on the Concept of Similar Triangles!
  • 3. All 45º- 45º- 90º Triangles are Similar! 45 º 2 2 45 º 1 1 45 º 1
  • 4. All 30º- 60º- 90º Triangles are Similar! 1 ½ 2 4 60º 30º 60º 30º 2 60º 30º 1
  • 5. All 30º- 60º- 90º Triangles are Similar! 10 60º 30º 5 2 60º 30º 1 1 60º 30º
  • 6. A triangle in which one angle is a right angle is called a right triangle . The side opposite the right angle is called the hypotenuse , and the remaining two sides are called the legs of the triangle. c b a
  • 7. Naming Sides of Right Triangles  Hypotenuse  Side Adjacent Side Opposite 
  • 8. The Tangent Ratio There are a total of six ratios that can be made with the three sides. Each has a specific name.  Side Adjacent  Hypotenuse Side Opposite  Tangent  
  • 9. The Six Trigonometric Ratios (The SOHCAHTOA model) S O H C A H T O A  Side Adjacent  Hypotenuse Side Opposite 
  • 10. The Six Trigonometric Ratios The Cosecant, Secant, and Cotangent of  are the Reciprocals of the Sine, Cosine,and Tangent of   Side Adjacent  Hypotenuse Side Opposite 
  • 12.  
  • 13. Find the value of each of the six trigonometric functions of the angle Adjacent 12 13 c = Hypotenuse = 13 b = Opposite = 12
  • 14.  
  • 15. 25 h h = 23.49
  • 16. Solving a Problem with the Tangent Ratio 60º 53 ft h = ? We know the angle and the side adjacent to 60º. We want to know the opposite side. Use the tangent ratio: Why? 1 2