   Chapter 8.2, Problem 80E ### 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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# HOW DO YOU SEE IT? Consider an angle in standard position with r = 12 centimeters, as shown in the figure. Describe the changes in the values of x, y, sin θ , cos θ , and tan θ as θ increases continually from 0° to 90° . To determine

The changes in the values of x, y, sinθ,cosθ, and tanθ when the value θ increases continuously from 0° to 90°.

Explanation

Given Information:

The value of r is 12 cm and the figure for the triangle is shown below.

Consider the angle changes continuously from 0° to 90°.

Now, when the angle is 0°, the standard position lies on horizontal axis where the y coordinate is 0. But as the angle increase and become 90°, standard position lies on vertical axis where the x coordinate is 0.

So, when the angles increase 0° to 90°, the corresponding values of x decreases from 12 cm to 0.

Similarly, when the angles increase 0° to 90°, the corresponding values of y increases from 0 to 12 cm

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