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

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

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sin(2x-pi/3)=(sqrt(3))/2

sin (2 x - \frac{π}{3}) = \frac{3}{2}

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

Solution steps

sin (2 x - \frac{π}{3}) = \frac{3}{2}

General solutions for

sin (2 x - \frac{π}{3}) = \frac{3}{2}

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

Solve

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

Solve

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

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

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tan (θ) = 3 tan (4 5^{\circ})

- cot (x) csc (x) = 0

2 cos (2 θ) - 3 cos (θ) - 5 = - 7

cos (x) tan (x) = - \frac{1}{2}

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