   Chapter 11.CR, Problem 33CR 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

If cot ⁡ θ = 21 20 , find csc ⁡ θ and sin ⁡ θ

To determine

To find:

cscθ and sinθ when cotθ=2120.

Explanation

Procedure used:

In any right triangle ABC with mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

Calculation:

Given:

cotθ=21x20x

But cotθ is the reciprocal of tanθ

Thus,

tanθ==20x21x

Also,

Thus,

Opposite =20x

Now, let us find the hypotenuse of the right triangle which has its length of the opposite as 20x and adjacent as 21x.

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