   Chapter 8.2, Problem 4E ### 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 1-6, find the exact values of the six trigonometric functions of the angle θ. See Example 1. To determine

To calculate: The exact values of the six trigonometric functions of the angle θ for the provided figure. Explanation

Given Information:

The figure provided below shows the angle θ.

Formula used:

The trigonometric functions are,

sinθ=yr         cscθ=rycosθ=xr         secθ=rxtanθ=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 r0.

Calculation:

From the provided figure, the value of x is 1 and y is 1.

Substitute x=1 and y=1 in the equation r=x2+y2.

r=(1)2+(1)2=1+1=2

Substitute y=1 and r=2 in sinθ=yr.

sinθ=12=12×22=22

Substitute x=1 and r=2 in cosθ=xr

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