Question

Tan 116° =
A) tan 64°
B) -tan 64
C) tan 26
D) -tan 26

Answer 1

B)

Explanation:

All three trigonometric functions are positive in Quadrant I

Sine only is positive in Quadrant II

Tangent only is positive in Quadrant III

Cosine only is positive in Quadrant IV

Now

tan 116° tan 116° means that the angle 116° lies in the second quadrant.

sin is positive while cos and tan are negative in the second quadrant

tan 116° = -tan(180°-116)

= -tan(64°)