   Chapter 8.2, Problem 20E ### 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
5 views

# Evaluating Trigonometric Functions In Exercises 19-32, evaluation the six trigonometric functions of the angle without using a calculator. See Examples 2 and 3. π 4

To determine

To calculate: The values of six trigonometric functions of the angle π4 without a calculator.

Explanation

Given Information:

The provided angle is π4.

Formula used:

The trigonometric values of some common angles are provided in the table.

 θ(degrees) 0° 30° 45° 60° 90° 180° 270° θ(radians) 0 π6 π4 π3 π2 π 3π2 sinθ 0 12 22 32 1 0 −1 cosθ 1 32 22 12 0 −1 0 tanθ 0 33 1 3 Undefined 0 Undefined

The reciprocal identities for trigonometric functions are cscθ=1sinθ, secθ=1cosθ and  and cotθ=1tanθ.

Calculation:

Consider the angle, θ=π4

Now, evaluate the values of six trigonometric functions for θ=π4 by the use of trigonometric values of common angles.

sinπ4=22cosπ4=22tanπ4=1

Evaluate the cscπ4 by reciprocal identity cscθ=1sinθ

### 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

#### In Exercises 2340, find the indicated limit. 39. limx1x2+82x+4

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

#### In Problems 3-6, factor by grouping. 5.

Mathematical Applications for the Management, Life, and Social Sciences

#### Multiply: 25.030.42_

Elementary Technical Mathematics

#### True or False: If f(x) = F(x), then baf(x)dx=F(b)F(a).

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

#### How does a full-text database differ from other databases?

Research Methods for the Behavioral Sciences (MindTap Course List) 