Prove the following expression 2cos²x+8sin(x) cos(x) can be written as a sin(2x)+b cos(2x)+c and determine the values of a, b, c

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
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Prove the following expression
2cos²x+8sin(x)cos(x)
can be written as
a sin(2x)+b cos(2x)+c and determine the values of a, b, c
Transcribed Image Text:Prove the following expression 2cos²x+8sin(x)cos(x) can be written as a sin(2x)+b cos(2x)+c and determine the values of a, b, c
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