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Chapter 7: Q. 1 (page 503)

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

sin-11

Short Answer

Expert verified

The exact value is 蟺2.

Step by step solution

01

Step 1. Definition

The inverse sine function y=sin-1xmeans that x=sinywhere -1鈮�x鈮�1and -蟺2鈮�y鈮�蟺2.

02

Step 2. Find the exact value

Let 胃=sin-11, so using the definition of inverse sine function it can be written as 1=sin胃where -蟺2鈮�胃鈮�蟺2.

In this interval the angle for which the sine value is 1is 蟺2.

So the value ofsin-11is蟺2.

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Most popular questions from this chapter

Use the fact that

cos蟺12=146+2

to findsin蟺24,cos蟺24.

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

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

csctan-11

(a) sin蟺4路cos蟺3=______

(b)tan蟺4-sin蟺6=________

solve each equation on the interval

3sin胃+cos胃=1
See all solutions

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