   Chapter 8.2, Problem 70E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Solving a Trigonometric Equation In Exercises 61-70, solve the equation for θ . Assume 0   ≤   θ   ≤ 2 π . For some of the equations, you should use the trigonometric identities listed in this section. Use a spreadsheet or a graphing utility to verify your results. See Example 7. cos θ 2 − cos θ = 1

To determine

To calculate: The values of θ for the trigonometric equation cosθ2cosθ=1.

Explanation

Given Information:

The provided trigonometric equation is,

cosθ2cosθ=1

Calculation:

Consider the trigonometric equation:

cosθ2cosθ=1

Simplify as:

cosθ2(2cos2θ21)=1cosθ22cos2θ2+1=1cosθ2(12cosθ2)=0

So,

cosθ2=0θ2=π2θ=π

Or,

12cosθ2=0cosθ2=12θ2=π3θ=2π3

Check:

Consider the provided trigonometric equation.

cosθ2cosθ=1

Rewrite.

cosθ2cosθ1=0

Consider the trigonometric equation:

Y=cosθ2cosθ1

The steps used to find the solution of the trigonometric function Y=cosθ2cosθ1 within range of 0θ2π using graphic calculator Ti-84, which can be given as below:

Step 1: Press ON button and then press Y= button

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 