What is the general solution for sin(5x)=(sqrt(3))/2 ?

The general solution for sin(5x)=(sqrt(3))/2 is x= pi/(15)+(2pin)/5 ,x=(2pi}{15}+\frac{2pin)/5

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sin(5x)=(sqrt(3))/2

sin (5 x) = \frac{3}{2}

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{2 π}{15} + \frac{2 πn}{5}

Solution steps

sin (5 x) = \frac{3}{2}

General solutions for

sin (5 x) = \frac{3}{2}

5 x = \frac{π}{3} + 2 πn, 5 x = \frac{2 π}{3} + 2 πn

Solve

5 x = \frac{π}{3} + 2 πn : x = \frac{π}{15} + \frac{2 πn}{5}

Solve

5 x = \frac{2 π}{3} + 2 πn : x = \frac{2 π}{15} + \frac{2 πn}{5}

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{2 π}{15} + \frac{2 πn}{5}

sin^{2} (θ) - cos^{2} (θ) = - 1

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

x, sin (x) + cot (x) cos (x) = \frac{1}{f}

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

tan (x) csc (x) - 2 tan (x) = 0

What is the general solution for sin(5x)=(sqrt(3))/2 ?
The general solution for sin(5x)=(sqrt(3))/2 is x= pi/(15)+(2pin)/5 ,x=(2pi}{15}+\frac{2pin)/5