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Chapter 7: Q 37. (page 457)

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

cot-1(3)

Short Answer

Expert verified

The exact value of the expression is 蟺6.

Step by step solution

01

Step 1. Write the given information.

The given expression is:cot-13.

02

Use the trigonometric properties.

Use the property: x=cot-1(y)鈬�cotx=y.

So,

胃=cot-1(3)鈬�cot胃=3

03

Use the trigonometric property.

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

Thus,

tan(胃)=1cot胃鈬�tan(胃)=13鈬�胃=蟺6

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