Point P(3, -7) lies on the terminal arm of angle theta in standard position.

Question

Sketch and label a diagram of the principle angle theta;

What is the value of the related acute angle beta to the nearest degree?

What is the value of the principle angle theta to the nearest degree?

Answer 1

(3, -7) is in the 4th quadrant

the angle has tangent = -7/3

use a calculator with an inverse tangent function

the angle = about -66.8 degrees