   Chapter 11.CT, Problem 14CT 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 a right triangle with acute of measures α and β,cos β = a c . Find the following values in terms of the lengthsof sides a, b, and c:a) sin α b) sec β

To determine

a.

To find:

The value of sin α in terms of the lengths of sides a, b, and c.

Explanation

Given:

In a right triangle with acute of measures α and β, cos β=ac.

Definition:

1. In a right triangle, the sine ratio for an acute angle is the ratio oppsite sidehypotenuse.

2. In a right triangle, the cos ratio for an acute angle is the ratio adjacent sidehypotenuse.

Calculation:

The given ratio is cos β=ac

To determine

b.

To find:

The value of sec β in terms of the lengths of sides a, b, and c.

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