What is the general solution for sin(8x)= 1/2 ?

The general solution for sin(8x)= 1/2 is x= pi/(48)+(pin)/4 ,x=(5pi}{48}+\frac{pin)/4

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sin(8x)= 1/2

sin (8 x) = \frac{1}{2}

x = \frac{π}{48} + \frac{πn}{4}, x = \frac{5 π}{48} + \frac{πn}{4}

Solution steps

sin (8 x) = \frac{1}{2}

General solutions for

sin (8 x) = \frac{1}{2}

8 x = \frac{π}{6} + 2 πn, 8 x = \frac{5 π}{6} + 2 πn

Solve

8 x = \frac{π}{6} + 2 πn : x = \frac{π}{48} + \frac{πn}{4}

Solve

8 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{48} + \frac{πn}{4}

x = \frac{π}{48} + \frac{πn}{4}, x = \frac{5 π}{48} + \frac{πn}{4}

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What is the general solution for sin(8x)= 1/2 ?
The general solution for sin(8x)= 1/2 is x= pi/(48)+(pin)/4 ,x=(5pi}{48}+\frac{pin)/4