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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305270336

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305270336
Chapter D, Problem 30E
Textbook Problem
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Find the remaining trigonometric ratios.

30. tan α = 2, 0 < α < π 2

To determine

To find: The trigonometric ratios.

Explanation of Solution

Result used:

Let P(x,y) be any point on the terminal side of angle θ and let r be the distance between the points P(x,y) and (0,0) then,

sinθ=yr,cscθ=ry,cosθ=xr,secθ=rx,tanθ=yx and cotθ=xy.

Calculation:

It is given that tanα=2,0<α<π2.

From the above result, the trigonometric function tanα=yx.

That is, yx=21.

Here, acute angle α belongs to the first quadrant. Thus, the value of x and y are positive.

Therefore, the value of y=2andx=1

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Chapter D Solutions

Single Variable Calculus: Early Transcendentals
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