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 (3pi/2) = 1/sin(3pi/2)

According to the graph sin(3pi/2) = -1

So,

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

The answer is -1

Answer 2

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.