Use the angle addition formulas (Equations 2.10.1 and 2.10.2) to expand the following and use the product and sum rules to compute the derivatives of the following functions. Compare the result with what you get with the chain rule. Take the derivative of cos(θ + φ) with respect to θ, thinking of φ as a constant. Simplify the answer in terms of sin(θ + φ).

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question

Use the angle addition formulas (Equations 2.10.1 and 2.10.2) to expand the following and use the product and sum rules to compute the derivatives of the following functions. Compare the result with what you get with the chain rule. Take the derivative of cos(θ + φ) with respect to θ, thinking of φ as a constant. Simplify the answer in terms of sin(θ + φ).

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