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

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

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solvefor x,sin(2x)=(sqrt(3))/2

solve for

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

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

Solution steps

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

General solutions for

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

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

Solve

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

Solve

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

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

tan (θ) = \frac{1}{1}

3 cos (C) + 8 = 0

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

1 - cos^{2} (x) = 2 cos (x) + 2

7 tan (θ) = 23 + tan (θ)

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