Question

Draw an angle with the given measure in standard position. Then find one positive angle and one negative angle that are coterminal with the given angle (40 degrees)​

Answer 1

First, let’s see what the coterminal angles are for 40°:

Positive: 40+360=400°

Negative: 40-360=-320°

Next we need a graph.

The positive coterminal angle is shown by the red arc which starts at green point Q, goes all the way round anti-clockwise till it meets Q again and passes it to reach red point P. The negative coterminal angle is shown by the clockwise blue arc.