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Chapter 7: Q 38. (page 457)

In Problems 37-44, find the exact value of each expression.

cot-1(1)

Short Answer

Expert verified

The exact value of the expression is蟺4.

Step by step solution

01

Step 1. Write the given information.

The given expression is:cot-1(1).

02

Use the trigonometric properties.

Use the property: x=cot-1(y)鈬�cotx=y.

So,

localid="1646482024537" 胃=cot-1(1)鈬�cot胃=1.

03

Use the trigonometric property.

Using the trigonometric property: tanx=1cotx鈬�cotx=1tanx.

Thus,

tan(胃)=1cot胃鈬�tan(胃)=11鈬�胃=蟺4.

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Most popular questions from this chapter

Establish each identity.

tan胃+cot胃=sec胃csc胃

Establish each identity.

1+cos胃+sin胃1+cos胃-sin胃=sec胃+tan胃

If x=2tan胃, express cos2胃as a function ofx.

Show thatcos蟺8=2+22and use it to findsin蟺16,cos蟺16.

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

secsin-1-12
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