cos(4x)-3cos(2x)-4 for xe [0.2π]
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 9ECP: Solve 4tan2x+5tanx6=0.
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Please help me solve the given trigonometric equation.
![cos(4x)-3cos(2x)-4 for xe [0.2π]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9f41a83-9e41-4cec-b773-8e61bc09ff04%2Fc84640c0-048f-41cf-b941-4ecd9762991a%2Fvz4s7tj.png&w=3840&q=75)
Transcribed Image Text:cos(4x)-3cos(2x)-4 for xe [0.2π]
Expert Solution
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:
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.
Step 3
Solving further we get:
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