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l2. trigonometric function

  1. 1. Trigonometric Ratios of Special Angles οƒ  Find the trigonometric ratios of special angles
  2. 2. Lets play TRIGπœƒ
  3. 3. Ready?
  4. 4. πœƒ
  5. 5. πœƒ
  6. 6. Use a protractor to find the measures of the angles of each triangle
  7. 7. 1.∠𝐴 =______ 2. ∠𝐡 =______ 3. ∠𝐢 =______ 1. ∠𝐷 =______ 2. ∠𝐸 =______ 3. ∠𝐹 =______ 1. ∠𝐿 =______ 2. βˆ π‘€ =_____ 3. βˆ π‘ =_____
  8. 8. The following sides of special right triangles are related as follows:
  9. 9. 45Β° – 45Β° – 90Β° Triangle Theorem the legs are congruent the length of the hypotenuse is times the length of a leg hypotenuse = leg
  10. 10. 30°– 60Β° – 90Β° Triangle Theorem  the length of the hypotenuse is twice the length of the shorter leg  the length of the longer leg is times the length of the shorter leg  hypotenuse = 2 shorter leg  longer leg = shorter leg
  11. 11. Example 1 π‘š = 2 βˆ™ 8 π‘š = 8 2
  12. 12. Example 2
  13. 13. Angles Ratios 0Β° 30Β° 45Β° 60Β° 90Β° sin𝜽 π’„π’π’”πœ½ π’•π’‚π’πœ½ π’„π’”π’„πœ½ π’”π’†π’„πœ½ π’„π’π’•πœ½
  14. 14. Angles Ratios 0Β° 30Β° 45Β° 60Β° 90Β° sin𝜽 𝟎 𝟏 𝟐 𝟏 𝟐 πŸ‘ 𝟐 𝟏 π’„π’π’”πœ½ 𝟏 πŸ‘ 𝟐 𝟏 𝟐 𝟏 𝟐 𝟎 π’•π’‚π’πœ½ 𝟎 𝟏 πŸ‘ 𝟏 πŸ‘ π’–π’π’…π’†π’‡π’Šπ’π’† π’„π’”π’„πœ½ π’–π’π’…π’†π’‡π’Šπ’π’† 𝟐 𝟐 𝟐 πŸ‘ 𝟏 π’”π’†π’„πœ½ 𝟏 𝟐 πŸ‘ 𝟐 𝟐 π’–π’π’…π’†π’‡π’Šπ’π’† π’„π’π’•πœ½ π’–π’π’…π’†π’‡π’Šπ’π’† πŸ‘ 𝟏 𝟏 𝟎
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