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Chapter 7: Q. 8 (page 503)

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

cot-1(-1)

Short Answer

Expert verified

The exact value is 3蟺4.

Step by step solution

01

Step 1. Given Information

We are given an expression cot-1(-1).

We need to find its exact value.

02

Step 2. Find the exact value

The inverse cotangent functiony=cot-1x means that x=cot(y)where -鈭�<x<鈭�and 0<y<蟺.

Let 胃=cot-1(-1), so using the definition of inverse cotangent function it can be written as -1=cot胃where 0<胃<蟺.

In this interval the angle for which the cotangent value is -1is 3蟺4.

So the value of cot-1(-1)is 3蟺4.

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Most popular questions from this chapter

If z=tan伪2, show that localid="1646416257885" cos伪=1-z21+z2.

True or False:sin-胃+cos-胃=cos胃-sin胃

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Rewrite over a common denominator:

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Part (d): Find the dimensions of this largest rectangle.
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