   Chapter 11.CT, Problem 10CT 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

Using the drawing below, classify each statement as true or false: a) cos β = sin αb) s i n 2   α +   c o s 2 α = 1 To determine

a.

To classify:

The given statement cos β = sin α is true or false.

Explanation

Definition:

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

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

Given:

The drawing given as below.

Calculation:

From the figure given,

For the angle α, opposite side = a, adjacent side = b, and hypotenuse = c

To determine

b.

To classify:

The given statement sin2 α + cos2 α = 1 is true or false.

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