   Chapter 1, Problem 8CQ

Chapter
Section
Textbook Problem

For an angle θ measured from the positive x-axis, the values of sin θ and cos θ are always (choose one): (a) greater than +1 (b) less than −1 (c) greater than −1 and less than 1 (d) greater than or equal to −1 and less than or equal to 1 (e) less than or equal to −1 or greater than or equal to 1.

To determine
The value of the angle of the sine and cosine with respect to the positive x-axis.

Explanation

The angle is measured from the positive x-axis. So, the value of the angle will be from 0° to 360°.

Thus, in this range of angle, the sine function takes the value of 1sinθ1

Cosine function takes the value of 1cosθ1.

Conclusion:

Since, the angle of the sine and cosine function will take greater or equal to 1 and less than or equal to +1 if measured from the positive x-axis. Thus, option (d) is correct

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