   Chapter 11.2, Problem 3E 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:

cosα and cosβ.

Explanation

Consider the following figure,

General formula for cosine ratio is given below,

From the given figure the value 10 is the hypotenuse value since it is opposite to right angle.

Then 6 is the length of the leg adjacent to α and a 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=10,lengthofoneleg=6 and lengthofotherleg=a to get the following,

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