Question

State the coterminal angle between 0 and 2x,the quadrant, and the reference angle. Then,determine the value of the trigonometricfunction. Leave answers in radical form. Thereshould be 4 answers.1. tan -840°

Answer 1

First, we determine the coterminal angle, that is:

-840° + 360° = -480° + 360° = -120°.

So, the coterminal angle is -120°. (2pi/3).

It is located in the third quadrant.

The reference angle is -240°. (4pi/3)

The value of the trigonometric function is:

$tan(-840)=\sqrt{3}$