# Find the remaining trigonometric ratios. 30. tan α = 2, 0 &lt; α &lt; π 2

### Single Variable Calculus: Early Tr...

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

Chapter
Section

### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305270336
Chapter D, Problem 30E
Textbook Problem
3 views

## 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

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
At what points on the curve y = sin x + cos x, 0 x 2, is the tangent line horizontal?

Single Variable Calculus: Early Transcendentals, Volume I

Prove the third law of exponents see 7.

Calculus (MindTap Course List)

Worker Efficiency An efficiency study conducted by Elektra Electronics showed that the number of Space Commande...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Find the limit. 37. limx011x2x

Single Variable Calculus

Write the abbreviation for each unit: 540 ohms

Elementary Technical Mathematics

Which letters have symmetry with respect to a line? M N P T X

Elementary Geometry For College Students, 7e

Prove each identity. cos4Asin4A=cos2A

Trigonometry (MindTap Course List)

Find for .

Study Guide for Stewart's Multivariable Calculus, 8th

If f(x) = 2e3x, f(x) = a) 2e3x b) 2xe3x c) 6e3x d) 6xe3x

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Use translations to help graph each function. gx=12x-2

College Algebra (MindTap Course List)

What is the general purpose for using a simulation or a field study for experimental research?

Research Methods for the Behavioral Sciences (MindTap Course List)

Explain the difference among the terms research strategy, research design, and research procedure.

Research Methods for the Behavioral Sciences (MindTap Course List)