You can put this solution on YOUR website! Let a = 2 sin (2x). This expression becomes . The equation factors to (2a - 1)(a + 3) = 0, so we have a = 1/2 or a = 3. Therefore we have
2 sin (2x) = 1/2 --> sin (2x) = 1/4
2 sin (2x) = -3 --> sin (2x) = -3/2
The second equation has no solutions for x, as the sine function is defined with outputs [-1,1]. The first one has solution or
Note that we may add any integer multiple of pi to x, as sine is periodic with period 2pi (note that x is multiplied by 2).
