   Chapter 8.2, Problem 11E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Evaluating Trigonometric Functions In Exercises 7-12, sketch a right triangle corresponding to the trigonometric function of the acute angle θ and find the values of the other five trigonometric functions of θ . tan θ = 2.25

To determine

To calculate: The values of other five trigonometric functions of θ, if tanθ=2.25.

Explanation

Given Information:

The provided trigonometric ratio tanθ=2.25.

Formula used:

Circular function definition:

sinθ=yrcscθ=rycosθ=xr         secθ=rx

And,

tanθ=yx         cotθ=xy

Where, x is the length of the side adjacent to θ, y is the length of the side opposite to θ, and r=x2+y2 is the length of hypotenuse which is not equal to 0.

Calculation:

Consider the provided trigonometric ratio, tanθ=2.25.

Since tanθ=yx, so,

From the provided trigonometric function, the value of y is 2.25 and x is 1.

So, the value of r will be;

r=x2+y2=12+2.252=1+5.0625=6.06252.46

A right triangle that have r=2.46, y=2.25 and x=1 is shown below:

### 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

#### Expand each expression in Exercises 122. (4+2x)(42x)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In problems 15-22, simplify by combining like terms. 19.

Mathematical Applications for the Management, Life, and Social Sciences

#### In Exercises 110, evaluate the expression. P(52,7)

Finite Mathematics for the Managerial, Life, and Social Sciences

#### True or False:

Study Guide for Stewart's Multivariable Calculus, 8th

#### Define applied research and basic research and identify examples of each.

Research Methods for the Behavioral Sciences (MindTap Course List) 