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Chapter 5 Analytic Trigonometry 1

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5.4 Sum & Difference Formulas Objectives: Use sum and difference formulas to evaluate trigonometric functions, verify identities, and solve trigonometric equations. 2

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Consider This…. Determine whether each equation is true or false. Justify your answer. 3

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Sum & Difference Formulas Sine Cosine 4 Signs are the same. Signs change.

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Sum & Difference Formulas Tangent 5

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Example 1 Find the exact value of cos 75 °. Check your answer with a calculator. 6

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Example 2 Find the exact value of. 7

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Example 3 Simplify. 8

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Example 4 Find the exact value of sin (u + v) given where and where 9

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Example 5 Prove the cofunction identity. 10

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Example 6 Simplify each expression. 11

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Example 7 Find all solutions of the equation in the interval [0, 2π). 12

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Homework 5.4 Worksheet 5.4 13

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