   Chapter 8.2, Problem 6CP ### 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
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# Solve for θ in each equation. Assume 0 ≤ θ ≤ 2 π . a. cos   θ = 2 2 b. tan θ = − 3 c. sin   θ = − 1 2

(a)

To determine

The value of θ for the trigonometric equation cosθ=22.

Explanation

Given Information:

The provided trigonometric equation is, cosθ=22

Consider the trigonometric equation, cosθ=22

Since, cosine is positive in first and forth quadrants.

Thus, there are two solutions for trigonometric equation cosθ=22, which can be mathematically determined as:

First value:

cosθ=22cosθ=cosπ4θ=

(b)

To determine

The value of θ for the trigonometric equation tanθ=3.

(c)

To determine

The value of θ for the trigonometric equation sinθ=12.

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