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Chapter 7: Q. 7 (page 503)

In Problems 1鈥� 8, find the exact value of each expression. Do not use a calculator.

sec-12

Short Answer

Expert verified

The exact value is 蟺4.

Step by step solution

01

Step 1. Definition

The inverse secant function y=sec-1xmeans that x=secywhere x鈮�1and 0鈮�y鈮�蟺, y鈮�蟺2.

02

Step 2. Find the exact value

Let 胃=sec-12, so using the definition of inverse secant function it can be written as 2=sec胃where 0鈮�胃鈮�蟺, 胃鈮�蟺2.

In this interval the angle for which the secant value is 2is 蟺4.

So the value of sec-12is 蟺4.

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Most popular questions from this chapter

Show thatsin3胃+sin3胃+120掳+sin3胃+240掳=-34sin3胃

True or False:sin-胃+cos-胃=cos胃-sin胃

Establish each identity.

sec2v-tan2v+tanvsecv=sinv+cosv

Establish each identity.

tan胃+cot胃=sec胃csc胃

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

cossin-122
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