Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN: 9781337278461
Author: Ron Larson
Publisher: Cengage Learning
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Concept explainers

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.
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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