   Chapter 11.2, Problem 5E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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 c is the hypotenuse value since it is opposite to right angle.

Then 2 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=c,lengthofoneleg=3 andlengthofotherleg=2 to get the following,

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