Answer: Е
Explanation:
▪︎ a^2 - b^2 = (a-b)(a+b)
sin^2(2x) = 1
sin^2(2x) - 1 = 0
(sin2x - 1)(sin2x + 1) = 0
sin2x - 1 = 0 or sin2x + 1 = 0
sin2x - 1 = 0
sin2x = 1
2x = 90° + 360°n
x = 45° + 180°n
▪︎180° means half of the unit circle, therefore,
x = 45° + 360°n and
x = 45° + 180° + 360°n = 225° + 360°n
sin2x + 1 = 0
sin2x = -1
2x = 270° + 360°n
x = 135° + 180°n
therefore,
x = 135° + 360°n and
x = 135° + 180° + 360°n = 315° + 360°n
n is an integer