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Chapter 7: Q. 22 (page 465)

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

cot2胃3=-3

Short Answer

Expert verified

The solution set is5蟺4.

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

cot2胃3=-3

02

Step 2. In the interval [0,2π), the sine function equals -3 at 5π6

So, we know that 2胃3must equal 5蟺6.

To find these solutions, write the general formula that gives all the solutions.

role="math" localid="1646591798135" 2胃3=5蟺6+蟺苍

Multiply with 32on both side

role="math" localid="1646591876458" 2胃3路32=325蟺6+蟺苍胃=32路5蟺6+32路蟺苍胃=5蟺4+3蟺苍2

03

Step 3. The general formula is θ=5π4+3πn2

So the value of given function in interval [0,2蟺)is

胃=5蟺4+3蟺脳02胃=5蟺4

So the solution set is5蟺4.

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Most popular questions from this chapter

If tan伪=x+1and role="math" localid="1646425111199" tan尾=x-1,show that

role="math" localid="1646426027733" 2cot(伪-b)=x2

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

tancos-1-32

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

secsin-1-12

Establish each identity.

tan胃+cot胃=sec胃csc胃

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

csctan-11
See all solutions

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