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Elementary Geometry for College St...

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

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Chapter
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BuyFindarrow_forward

Elementary Geometry for College St...

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

cosθ=AdjacentHypotenuse

tanθ=OppositeAdjacent

Calculation:

Given:

cotθ=21x20x

But cotθ is the reciprocal of tanθ

Thus,

tanθ==20x21x

Also,

tanθ=OppositeAdjacent

Thus,

Opposite =20x

Adjacent =21x

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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