Explanation Consider the following figure, General formula for cosine ratio is given below, cos θ = a d j a c e n t h y p o t e n u s e From the given figure the value 3 is the hypotenuse value since it is opposite to right angle . Then 5 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, ( h y p o t e n u s e ) 2 = ( l e n g t h o f o n e l e g ) 2 + ( l e n g t h o f o t h e r l e g ) 2 Substitute the values of h y p o t e n u s e = 3 , l e n g t h o f o n e l e g =

Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Chapter 11.2, Problem 4E

To determine

To find:

To find cosα and cosβ.

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Chapter 11.2, Problem 3E

Chapter 11.2, Problem 5E

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Chapter 11 Solutions

Elementary Geometry For College Students, 7e

Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

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