Question

NEED HELP QUICKLY

(please include your work)
19. Solve for the angle x.
sin²(2x) = 1
A. 45° + 360°n, 135° + 360°n
B. 45° + 360°n, 135° + 360°n, 225° +
360°n
C. 225° +360°n
D. no solution
E. 45° +360°n, 135° + 360°n, 225° +
360°n, 315° +360°n
F. 45° + 360°n, 225° + 360°n
( A is incorrect)

Answer 1

Choice E.

Explanation:

sin^2 2x = 1

sin 2x = ± 1

So 2x = 90, 270 , 450, 630 etc

x = 45, 135, 225, 315 etc

= 45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n