Question

Solve: 2 sin x - 1 = 0 for 0 13 years ago

Answer 1

sinx = 1/2

=> x = 30° or 150°

sin2x/cos2x = 1

=> tan2x = 1

=> 2x = 45°, 180° + 45°, 360° + 45° and 540° + 45°..............45 + 180n, for n = 0, 1, 2,.....

i.e. x = 22.5°, 112.5°, 202.5°, 292.5°

Answer 2

By manipulating the equation, you get:
sin x = 1/2
acute angle
= sin^-1 (1/2)
= 30degrees
(I presume the domain you are given is 0 to 360 degrees for x.)

Therefore,
x = 30 degrees, 180-30degrees(because this angle also appears in the 'sine domain'.)
= 30 degrees, 150 degrees