What is the general solution for sin(4x)=(sqrt(3))/2 ?

The general solution for sin(4x)=(sqrt(3))/2 is x= pi/(12)+(pin)/2 ,x= pi/6+(pin)/2

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sin(4x)=(sqrt(3))/2

sin (4 x) = \frac{3}{2}

x = \frac{π}{12} + \frac{πn}{2}, x = \frac{π}{6} + \frac{πn}{2}

Solution steps

sin (4 x) = \frac{3}{2}

General solutions for

sin (4 x) = \frac{3}{2}

4 x = \frac{π}{3} + 2 πn, 4 x = \frac{2 π}{3} + 2 πn

Solve

4 x = \frac{π}{3} + 2 πn : x = \frac{π}{12} + \frac{πn}{2}

Solve

4 x = \frac{2 π}{3} + 2 πn : x = \frac{π}{6} + \frac{πn}{2}

x = \frac{π}{12} + \frac{πn}{2}, x = \frac{π}{6} + \frac{πn}{2}

- 3 sin (x) = 0

csc^{2} (x) - 2 csc (x) = 2 - 4 sin (x)

2 cos^{2} (4 x) - 1 = 0

cos (θ) = - \frac{1}{2}

3 sin (2 t) + 4 = 1

What is the general solution for sin(4x)=(sqrt(3))/2 ?
The general solution for sin(4x)=(sqrt(3))/2 is x= pi/(12)+(pin)/2 ,x= pi/6+(pin)/2