Answer:
(d) -(√2)/2
Explanation:
You want the exact value of the sine of an angle when its terminal side intersects the unit circle at (√2/2, -√2/2).
Sine
The coordinates of the point where the terminal side of angle θ intersects the unit circle are ...
(cos(θ), sin(θ))
Comparing this to the given point, we find that ...
sin(θ) = -√2/2