Trigonometry (MindTap Course List)

10th Edition

ISBN: 9781337278461

Author: Ron Larson

Publisher: Cengage Learning

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#### Concept explainers

Question

Please help me solve the given trigonometric equation.

Expert Solution

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Step 1

Consider the given equation and replace the term **cos(4****x****)** using double angle trigonometric identity. We use, **cos(4****x****) = 2cos ^{2}(2**

**x****) – 1**. This will help us have the entire equation in the form of

**cos(2**

**x****)**. We get:

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Step 2

We now have a quadratic equation in terms of **cos(2 x)**. Hence, we can first solve for

**cos(2**, by solving the equation using factoring.

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Step 3

Solving further we get:

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