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Chapter 6: Q. 11 (page 419)

For what numbers x,-2蟺鈮�x鈮�2蟺,does secx=1? For what numbers xdoessecx=-1?

Short Answer

Expert verified

Forx=-2蟺,0,2蟺,secx=1and forx=-蟺,蟺,secx=-1.

Step by step solution

01

Step 1. Given Information

We have to find for what numbers dosecx=1andsecx=-1.

02

Step 2. Finding the numbers

To determine the numbers of the function where secx=1and secx=-1at -2蟺鈮�x鈮�2蟺. We will substitute some values for xto get corresponding values of y.

So, let y=secxandx=-2蟺

y=secxy=sec-2蟺y=1

Then let role="math" localid="1646399504131" x=-蟺

y=sec-蟺y=-1

Let x=0

y=sec0y=1

Let x=蟺

y=secxy=sec蟺y=-1

Now, let x=2蟺

y=sec2蟺y=1

Thus, for x=-2蟺,0,2蟺, secx=1and for x=-蟺,蟺,secx=-1.

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