Question

if sin θ< 0 and tan θ< 0 then:
A. 180 degrees< theta< 270
B. 90 degrees< theta < 180
C. 0 degrees< theta< 90
D. 270 degrees< theta< 360

Answer 1

this is a unit circle problem.

you need to identify the quadrant where sin and tan are negative.

so its the 4th quadrant... you can work of the angle domain.

Answer 2

D. 270 degrees< theta< 360