Solve in radians.

Question

1) sin2X = 1/2
2) tan2 (X + pi/2) = 1
3) 5 - 3sec (X - pi/4) = -1

Answer 1

clearly 2x = pi/6

tan(x+pi/2) = -cot(x)

3sec(x-pi/4) = 6
sec(x-pi/4) = 2
cos(x-pi/4) = 1/2
x-pi/4 = pi/3

now just look in all the quadrants that work.