Question

Evaluate the expression Arcsin(-1/2) in exact value

Answer 1

in radian measure

Answer 2

Since it is <0, this means that the angle is the 3rd/4th quad.
evaluate arcsin (1/2) on your calculator -> this should be pi/6 rads.
If the angle you want is in the 3rd quad, the GS would be 7pi/6 + (2n)pi rads.
If the angle you want is in the 4th quad, the GS would be 11pi/6 + (2n)pi rads.

Answer 3

-pi/6.

Answer 4

or for the 4th quad, GS would be (2n)pi - (pi/6) rads [same as 11pi/6 + (2n)pi rads].