Question

Q5 Q5.) Use the​ (x,y) coordinates in the figure to find the value of the trigonometric function at the indicated real​ number, t, or state that the expression is undefined.

Answer 1

csc(x) = 1/sin(x)

so csc(3pi/2) = 1/sin(3pi/2)

from the unit circle, 3pi/2 corresponds to (0,-1)

sin(3pi/2)=-1

csc(3pi/2)=1/-1=-1

A.

Answer 2

Angle 3$\pi$/2 is (0, -1)
csc (3$\pi$/2) = hypothesis / opposite side
= 1/-1
= -1