What is the general solution for 4sin(2x)=2sqrt(3) ?

The general solution for 4sin(2x)=2sqrt(3) is x= pi/6+pin,x= pi/3+pin

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4sin(2x)=2sqrt(3)

4 sin (2 x) = 23

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

Solution steps

4 sin (2 x) = 23

Divide both sides by

4

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

3 cos (2 θ) - 5 cos (θ) - 1 = 0

3 cos (b) + 3 = 0

csc (x) = \frac{21}{5}

3 cot (2 x) + 3 = 0

\frac{1}{cos ( θ )} = 2

What is the general solution for 4sin(2x)=2sqrt(3) ?
The general solution for 4sin(2x)=2sqrt(3) is x= pi/6+pin,x= pi/3+pin