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Chapter 7: Q. 9 (page 506)

Find the exact value ofcos(tan-12).

Short Answer

Expert verified

The required value is55.

Step by step solution

01

Step 1. Given Information

We need to find the value of the trigonometric functioncos(tan-12).

02

Step 2. Finding the value

Let 胃=tan-12鈬�tan胃=2

The interval of tangent function is 0<胃<蟺2since tan胃>0.

The hypotenuse is 22+12=5.

鈭�cos胃=15鈬�cos胃=55脳5鈬�cos胃=55

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Most popular questions from this chapter

solve each equation on the interval 0鈮�胃<2蟺

sin胃-3cos胃=1

find the exact value of the expression

sin 75掳 + sin 15掳

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

Establish each identity.

sec胃-cos胃=sin胃tan胃

solve each equation on the interval

0鈮�胃鈮�2蟺

sin胃-cos胃=-2
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