What is the general solution for sin(3x)=1 ?

The general solution for sin(3x)=1 is x= pi/6+(2pin)/3

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sin(3x)=1

sin (3 x) = 1

x = \frac{π}{6} + \frac{2 πn}{3}

Solution steps

sin (3 x) = 1

General solutions for

sin (3 x) = 1

3 x = \frac{π}{2} + 2 πn

Solve

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

x = \frac{π}{6} + \frac{2 πn}{3}

cos (2 x) + cos (x) = 0

csch (ln (2))

tan (2 x) = 3

x, tan (x) + sec (x) = 2 cos (x)

cos (θ) = - \frac{2}{2}

What is the general solution for sin(3x)=1 ?
The general solution for sin(3x)=1 is x= pi/6+(2pin)/3