Question

Evaluate csc330°.
A: -2sqrt3/3
B: -2
C: 2
D: 2sqrt3/3

Answer 1

B: -2

Explanation:

The reference angle for 4th-quadrant angle 330° is 30°. The sine is negative in the 4th quadrant, so ...

csc(330°) = 1/sin(-30°) = -1/sin(30°) = -1/(1/2) = -2