Answer:
C. 3Pi/2 or 270 degrees
Step-by-step explanation:
The first step is to ignore the negative sign and then evaluate the arcsin of 1 to obtain the reference angle of θ in the first quadrant;
θ = arcsin(1)
θ = 90 degrees or equivalently pi/2
Since the sine of θ was given as -1, this will imply that θ lies either in the third or forth quadrant where the sine of an angle is negative.
To obtain the value of θ in the third quadrant we simply add 180 degrees of pi radians to our reference angle;
90 + 180 = 270 degrees
pi/2 + pi = 3/2 pi
