   Chapter 11.CR, Problem 32CR 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 tan ⁡ θ = 11 60 , find sec ⁡ θ and cot ⁡ θ .

To determine

To find:

secθ and cotθ when tanθ=1160

Explanation

Procedure used:

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

sinθ=OppositeHypotenuse

Calculation:

Given:

tanθ=1160

The above ratio, we can consider as

tanθ=11x60x

But

Thus,

Opposite =11x, and

Now, let us find the hypotenuse of the right triangle which has its length of the opposite as 11x and adjacent as 60x.

Apply the Pythagorean formula for right of triangle,

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