   Chapter 11.2, Problem 7E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# For the triangles in Exercises 1 to 6,a) why does sin α = cos β ?b) why does cos α = sin β ?

To determine

a) To find:

To explain the following,

sinα=cosβ.

Explanation

Consider the following figure,

General formula for cosine ratio and sin ratio is given below,

The above triangles are right triangle that is one of its three angle is equal to 90, and the sum of the other two is equal to 90.

That is,

α+β+90=180α+β=18090<

To determine

b) To find:

To explain the following,

cosα=sinβ.

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