   Chapter 8.2, Problem 28E ### 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. 360 °

To determine

To calculate: The value of six trigonometric functions of an angle 360° without using a calculator.

Explanation

Given Information:

The angle is 360°.

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

Calculation:

Consider the angle,

θ=360°

First, find the reference angle of θ=360°.

reference angle of 360°=360°360°=0°

Since, Cosine and Secant are positive, and remaining trigonometric functions are negative in the IV quadrant.

So, we can write the six trigonometric functions as,

sin(360°)=sin(0°)cos(360°)=cos(0°)tan(360°)=tan(0°)csc(360°)

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