What is the general solution for cos(2/3 x)=0 ?

The general solution for cos(2/3 x)=0 is x=(3pi)/4+3pin,x=(9pi)/4+3pin

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cos(2/3 x)=0

cos (\frac{2}{3} x) = 0

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

Solution steps

cos (\frac{2}{3} x) = 0

General solutions for

cos (\frac{2}{3} x) = 0

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

Solve

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

Solve

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

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

sin (2 x) cos (2 x) = 2

\frac{cos ( t )}{3 cos ( 3 t )} = 0

3 tan (3 x) = 1

x, cos (x) + 3 = - cos (x)

2 cos (2 x) + 1 = 0

What is the general solution for cos(2/3 x)=0 ?
The general solution for cos(2/3 x)=0 is x=(3pi)/4+3pin,x=(9pi)/4+3pin