Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Fundamentals of Trigonometric Identities
Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.
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Question

Please help me solve the given trigonometric equation.

cos(4x)-3cos(2x)-4 for xe [0.2π]
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Transcribed Image Text:cos(4x)-3cos(2x)-4 for xe [0.2π]
Expert Solution
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Step 1

Consider the given equation and replace the term cos(4x) using double angle trigonometric identity. We use, cos(4x) = 2cos2(2 x) – 1. This will help us have the entire equation in the form of cos(2x). We get:

Trigonometry homework question answer, Step 1, Image 1
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Step 2

We now have a quadratic equation in terms of cos(2x). Hence, we can first solve for cos(2 x), by solving the equation using factoring.

Trigonometry homework question answer, Step 2, Image 1
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Step 3

Solving further we get:

Trigonometry homework question answer, Step 3, Image 1
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