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

The general solution for sin(3x)=(sqrt(2))/2 is x= pi/(12)+(2pin)/3 ,x= pi/4+(2pin)/3

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

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

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{π}{4} + \frac{2 πn}{3}

Solution steps

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

General solutions for

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

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

Solve

3 x = \frac{π}{4} + 2 πn : x = \frac{π}{12} + \frac{2 πn}{3}

Solve

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

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{π}{4} + \frac{2 πn}{3}

2 cos^{2} (x) - 1 - cos (x) = 0

csc (\frac{π}{6})

tan (15 0^{\circ})

tan (\frac{4 π}{3})

cos (2 x) = \frac{2}{2}

What is the general solution for sin(3x)=(sqrt(2))/2 ?
The general solution for sin(3x)=(sqrt(2))/2 is x= pi/(12)+(2pin)/3 ,x= pi/4+(2pin)/3