Linear Combination of Cosine and Sine Derivation Problem: In this problem youll see how

Chapter 5, Problem 32

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Linear Combination of Cosine and Sine Derivation Problem: In this problem youll see how to prove the linear combination property. a. Use the composite argument property to show that A cos ( D) = (A cos D) cos + (A sin D) sin b. Let A cos D = b, and let A sin D = c. Square both sides of each equation to get A2 cos2 D = b2 A2 sin2 D = c2 Explain why A2 = b2 + c2. c. Explain why D = arccos and D = arcsin , and thus why D = arctan .

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