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

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

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2sin(2x)=sqrt(3)

2 sin (2 x) = 3

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

Solution steps

2 sin (2 x) = 3

Divide both sides by

2

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 (\frac{3 π}{4})

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

\frac{2 tan ( x )}{1 + tan ^{2} ( x )} = sin (2 x)

arccsc (2)

tan (5)

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