What is the general solution for sin(5x)= 1/2 ?

The general solution for sin(5x)= 1/2 is x= pi/(30)+(2pin)/5 ,x= pi/6+(2pin)/5

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sin(5x)= 1/2

sin (5 x) = \frac{1}{2}

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{π}{6} + \frac{2 πn}{5}

Solution steps

sin (5 x) = \frac{1}{2}

General solutions for

sin (5 x) = \frac{1}{2}

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

Solve

5 x = \frac{π}{6} + 2 πn : x = \frac{π}{30} + \frac{2 πn}{5}

Solve

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

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{π}{6} + \frac{2 πn}{5}

tan (t) = - 3

4 cos (θ) - 3 = 0

5 sin (x) = 4 cos (x) + 4

8 tan (x) sin (x) = sin (x)

sin (x) = - 0.8

What is the general solution for sin(5x)= 1/2 ?
The general solution for sin(5x)= 1/2 is x= pi/(30)+(2pin)/5 ,x= pi/6+(2pin)/5