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Chapter 7: Q. 5 (page 503)

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

cos-1-32

Short Answer

Expert verified

The exact value is 5蟺6.

Step by step solution

01

Step 1. Definition 

The inverse cosine function y=cos-1xmeans that x=cosywhere -1鈮�x鈮�1and 0鈮�y鈮�蟺.

02

Step 2. Find the exact value 

Let 胃=cos-1-32, so using the definition of inverse cosine function it can be written as -32=cos胃where 0鈮�胃鈮�蟺.

In this interval the angle for which the cosine value is -32is 5蟺6.

So the value of cos-1-32is 5蟺6.

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Most popular questions from this chapter

solve each equation on the interval

0鈮�胃<2蟺

sin胃+cos胃=2

Establish each identity.

tan胃+cot胃=sec胃csc胃

Multiply:sin(胃)1+cos(胃)1-cos(胃)1-cos(胃)

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

cotsin-1-12

Establish each identity.

sec胃1-sin胃=1+sin胃cos3胃
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