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Chapter 7: Q. 11 (page 465)

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

2sin胃+3=2

Short Answer

Expert verified

The solution set is7蟺6,11蟺6.

Step by step solution

01

Step 1. Given Information

In the given problem we have to solve each equation on the interval0鈮�胃鈮�2蟺.

2sin胃+3=2

02

Step 2. Firstly solving the equation 2sinθ+3=2

Subtract by 3 on both side

2sin胃+3-3=2-32sin胃=-1

Divide by 2 on both side

22sin胃=-12sin胃=-12

03

Step 3. After solving the equation sinθ=-12

In the interval [0,2蟺), there are two angles 胃for which

localid="1646564805462" sin胃=-12:胃=7蟺6and胃=11蟺6

So the solution set is 7蟺6,11蟺6.

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Most popular questions from this chapter

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