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Chapter 6: Q. 12 (page 419)

For what numbers x,-2蟺鈮�x鈮�2蟺does cscx=1? For what numbers x doescscx=-1?

Short Answer

Expert verified

Forx=蟺2,-3蟺2,cscx=1and forx=-蟺2,3蟺2,cscx=-1.

Step by step solution

01

Step 1. Given Information 

We have to find for what numbers docscx=1andcscx=-1.

02

Step 2. Finding the numbers 

As we know the reciprocal of the cosecant function is 1sin.

So, cscx=1whensinx=1.

The sine functions are 1at 蟺2and-3蟺2in the given interval.

Thus, cscx=1will be at蟺2and-3蟺2.

03

Step 3. Finding the numbers

Likewise, the cosecant function is -1, when sine function is -1.

The sine function is -1at role="math" localid="1646400679548" -蟺2and3蟺2in the given interval.

Thus, the cosecant function is -1at role="math" localid="1646400699176" -蟺2and3蟺2in the given interval.

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