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Chapter 7: Q. 2 (page 503)

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

cos-10

Short Answer

Expert verified

The exact value is蟺2.

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-10, so using the definition of inverse cosine function it can be written as 0=cos胃where 0鈮�胃鈮�蟺.

In this interval the angle for which the cosine value is 0is 蟺2.

So the value of cos-10is 蟺2.

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Most popular questions from this chapter

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

Establish each identity.

11-sin胃+11+sin胃=2sec2胃

If tan胃=atan胃3, expresstan胃3in terms of a.

solve each equation on the interval

0鈮�胃鈮�2蟺

sin胃-cos胃=-2

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

csctan-11
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