   Chapter 11.3, Problem 9E 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 5 to 10, find the value (or expression) for each of the six trigonometric ratios of angle α . Use the Pythagorean Theorem as needed. To determine

To find:

The value for each of the six trigonometric ratios of angle α.

Explanation

Given:

The given figure is

Definition used:

The six trigonometric ratios:

Calculation:

Let the unknown side in the triangle be a.

In a right triangle, (hypotenuse)2=(opposite)2+(adjacent)2

(x2+1)2=x2+(a)2x2+1=x2+a21=a21=a21=a

Thus we have

From the figure, opposite=x, adjacent=1, hypotenuse=x2+1

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