M16.2_Outline_Right triangle identities.pdf - MA 111 Precalculus NCSU Module 16 Video 2 Right Triangle Trigonometry Identities F Learning Objectives 1

M16.2_Outline_Right triangle identities.pdf - MA 111...

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MA 111: Precalculus, NCSU Module 16, Video 2: Right Triangle Trigonometry, Identities F Learning Objectives 1. Cofunction Identities 2. Derive the Pythagorean Identities. 3. Define special angle triangles F Cofunction Identities Looking at a right triangle, notice the relationship between certain trigono- metric functions of complementary angles, Notice that α and β in the right triangle are complementary angles. Write down sides of triangle and the sine and cosine of complementary angles sinα = cosβ = sinβ = cosα = Cofunction property for sine and cosine Notice with the triangle this cofunction property would also be true for what other pairs of trigonometric functions? 1
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F Pythagorean Identities Start with right triangle Pythagorean Identity: the sum of the squares of sides (legs) in a right triangle equals the square of the hypotenuse: ( leg ) 2 + ( leg ) 2 = (
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