Using trig. identities, find the maximum of y = sinx + cosx  (in the first quadrant) and the corresponding angle x in degree (clearly show your work). Note that solving the problem by taking derivative of y with respect to x and setting it to zero is not acceptable (this is a calculus method).

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°.
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Using trig. identities, find the maximum of y = sinx + cosx  (in the first quadrant) and the corresponding angle x in degree (clearly show your work). Note that solving the problem by taking derivative of y with respect to x and setting it to zero is not acceptable (this is a calculus method).

 

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