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

The general solution for sin(x/3)=(sqrt(2))/2 is x=(3pi)/4+6pin,x=(9pi)/4+6pin

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

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

x = \frac{3 π}{4} + 6 πn, x = \frac{9 π}{4} + 6 πn

Solution steps

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

General solutions for

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

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

Solve

\frac{x}{3} = \frac{π}{4} + 2 πn : x = \frac{3 π}{4} + 6 πn

Solve

\frac{x}{3} = \frac{3 π}{4} + 2 πn : x = \frac{9 π}{4} + 6 πn

x = \frac{3 π}{4} + 6 πn, x = \frac{9 π}{4} + 6 πn

2 cos (3 x) = - 3

cos (x) = cos^{2} (x)

- tan (x) = 1

4 sin (3 x) = 7 cos (3 x)

6 sin^{2} (θ) + 13 sin (θ) + 7 = 0

What is the general solution for sin(x/3)=(sqrt(2))/2 ?
The general solution for sin(x/3)=(sqrt(2))/2 is x=(3pi)/4+6pin,x=(9pi)/4+6pin