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Math
GeometryElementary Geometry for College Students6th Edition

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

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

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Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
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Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
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Problem 45E
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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 .

Chapter 11.2, Problem 5E, In Exercises 1 to 6, find cos and cos.

To determine

To find:

The cosα and cosβ.

Explanation

Consider the following figure,

General formula for cosine ratio is given below,

cosθ=adjacenthypotenuse

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=(length of one leg)2+(length of other leg)2

Substitute the values of hypotenuse=c,length of one leg=3 andlength of other leg=2 to get the following,

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Sect-11.1 P-1ESect-11.1 P-2ESect-11.1 P-3ESect-11.1 P-4ESect-11.1 P-5ESect-11.1 P-6ESect-11.1 P-7ESect-11.1 P-8ESect-11.1 P-9ESect-11.1 P-10E
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