1. Ihr Logo
Trigonometric
Ratios

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Outline:


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The Three Trigonometric Ratios

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Example 4.1:

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Example 4.2:
Determine the three basic trigonometric ratios
for the two angles M and N.

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Reciprocal and Complementary Angles

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Example 4.3:

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Example 4.4:
Determine the three reciprocal ratios for the
two angles M and N.

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Do you notice anything with
the definitions of secant,
cosecant, and cotangent? How
are they related to the three basic
trigonometric ratios?

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Thus, cosecant is the reciprocal
ratio of sine; secant is the reciprocal
ratio of cosine; and cotangent is the
reciprocal ratio of tangent.
Then, cosecant, secant, and
cotangent are called reciprocal
ratios.

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Ratios of Complementary Angles

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Example 4.5:

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Trigonometric Ratios of the Special Angles

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Applying the Pythagorean theorem,

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The reciprocal ratios are

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The reciprocal ratios are

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Applying the Pythagorean theorem,

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The reciprocal ratios are

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Trigonometric Ratios of Special Angles

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Example 4.6:

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Example 4.7:
Solve for x and y in the given
triangle. Determine the six trigonometric
ratios.

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Thank You!!!
Courage is the first of human virtues because it makes all
others possible.
- Aristotle