What is the general solution for sin(2x)+(sqrt(3))/2 =0 ?

The general solution for sin(2x)+(sqrt(3))/2 =0 is x=(2pi)/3+pin,x=(5pi)/6+pin

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sin(2x)+(sqrt(3))/2 =0

sin (2 x) + \frac{3}{2} = 0

x = \frac{2 π}{3} + πn, x = \frac{5 π}{6} + πn

Solution steps

sin (2 x) + \frac{3}{2} = 0

Move

\frac{3}{2}

to the right side

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

General solutions for

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

2 x = \frac{4 π}{3} + 2 πn, 2 x = \frac{5 π}{3} + 2 πn

Solve

2 x = \frac{4 π}{3} + 2 πn : x = \frac{2 π}{3} + πn

Solve

2 x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{6} + πn

x = \frac{2 π}{3} + πn, x = \frac{5 π}{6} + πn

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

7 cos (x) + 3 = 3 cos (x) + 2

2 sin (2 θ) + 1 = 0

sin (2 x) - 2 sin (x) = 0

7 cos^{2} (x) - 1 = 5 cos (x)

What is the general solution for sin(2x)+(sqrt(3))/2 =0 ?
The general solution for sin(2x)+(sqrt(3))/2 =0 is x=(2pi)/3+pin,x=(5pi)/6+pin