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Chapter 7: Q. 24 (page 465)

In Problems 11鈥�34, solve each equation on the interval 0鈮�胃鈮�2蟺

cos胃+1=0

Short Answer

Expert verified

The solution set is{蟺}

Step by step solution

01

Step 1. Given Information 

In the given problem we have to solve each equation on the interval 0鈮�胃鈮�2蟺

cos胃+1=0

02

Step 2. Firstly solving the equation 

Subtract 1 on both side

cos胃+1-1=0-1cos胃=-1

03

Step 3. After solving the equation cosθ=-1

The period of the cosine function is 2蟺. In the interval localid="1646624451766" [0,2蟺), there is one angles 胃for which

cos胃=-1:胃=蟺

So the solution set is {蟺}.

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Most popular questions from this chapter

Repeat Problem 107forgx=cos2x.

Use the fact that

cos蟺12=146+2

to findsin蟺24,cos蟺24.

In Problems 9鈥�36, find the exact value of each expression.

csctan-11

Establish each identity.

cos2胃-sin2胃1-tan2胃=cos2胃

Show thattan-1v+cot-1v=蟺2
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