For what value of theta� with -pi/2<=theta<=pi/2 does sin(theta)=sq.root(2)/2? For what value does sin(theta)=0?

Thank you!

Get out your cheat sheet of special angles.

sin(theta) = sqrt(2)/2 at pi/4
sin = 0 at theta = 0

sin >= 0 in 1st & 2nd quadrants

So, your answers are pi/4 and 0