   Chapter 8.2, Problem 21E ### 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
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# Evaluating Trigonometric Functions In Exercises 19-32, evaluate the six trigonometric functions of the angle without using a calculator. See Examples 2 and 3. − π 2

To determine

To calculate: The value of six trigonometric functions of an angle π2 without using a calculator.

Explanation

Given Information:

The angle is π2.

Formula used:

Trigonometric values of Common angles:

 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 formulas for negative angles are,

sin(θ)=sin(θ)cos(θ)=cos(θ)

Calculation:

Consider the angle,

θ=π2

Now, evaluate the value of six trigonometric functions for θ=π2 using Trigonometric values of common angles.

sin(π2)=sin(π2)=1cos(π2)=cos(π2)=0

Next,

tan(π2)=tan(π2)=Undefined

Evaluate the csc(π2) using reciprocal identities

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