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

The general solution for sin(x/3)=-(sqrt(3))/2 is x=4pi+6pin,x=5pi+6pin

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

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

x = 4 π + 6 πn, x = 5 π + 6 πn

Solution steps

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

General solutions for

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

\frac{x}{3} = \frac{4 π}{3} + 2 πn, \frac{x}{3} = \frac{5 π}{3} + 2 πn

Solve

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

Solve

\frac{x}{3} = \frac{5 π}{3} + 2 πn : x = 5 π + 6 πn

x = 4 π + 6 πn, x = 5 π + 6 πn

2 cos (x) + 3 = 2

6 sin^{2} (x) = 3

tan (x) cot (x) = csc (x) sec (x)

cos (A) = \frac{3}{5}

cos^{2} (x) - sin^{2} (x) = \frac{1}{2}

What is the general solution for sin(x/3)=-(sqrt(3))/2 ?
The general solution for sin(x/3)=-(sqrt(3))/2 is x=4pi+6pin,x=5pi+6pin