   Chapter 11.2, Problem 6E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 1 to 6, find cos α and cos β . To determine

To find:

The cosα and cosβ.

Explanation

Consider the following figure,

General formula for cosine ratio is given below,

From the given figure the value 13 is the hypotenuse value since it is opposite to right angle.

Then b is the length of the leg adjacent to α and 3 is the length of leg adjacent to β.

The Pythagorean theorem is given below,

(hypotenuse)2=(lengthofoneleg)2+(lengthofotherleg)2

Substitute the values of hypotenuse=13,lengthofoneleg=b andlengthofotherleg=3 to get the following,

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