Question

chapter 7: the unit circle: sine and cosine functions section 7.1: angles first, we learn some basic terminology of an angle and the standard position. section 7.1 exercise 1: draw the following angles. (a) 570° (b) -270°

Explanation:

Step1: Find coterminal angle for 570°

Subtract 360° from 570° to get a coterminal angle between 0° and 360°. $570 - 360=210^{\circ}$.

Step2: Draw 210° angle

Start with initial side on positive x - axis. Rotate counter - clockwise 210° to get terminal side in third quadrant.

Step3: Find coterminal angle for - 270°

Add 360° to - 270°. $-270 + 360 = 90^{\circ}$.

Step4: Draw 90° angle

Start with initial side on positive x - axis. Rotate counter - clockwise 90° to get terminal side on positive y - axis.

Answer:

For (a), draw an angle with terminal side in third quadrant (coterminal to 210°). For (b), draw an angle with terminal side on positive y - axis (coterminal to 90°).