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

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

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cos((3x)/2)=0

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

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

Solution steps

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

General solutions for

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

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

Solve

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

Solve

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

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

sec (x) + 1 = tan (x)

2 sin^{2} (x) + 5 sin (x) + 2 = 0

cos (x) - sin (x) = - 1

tan^{2} (x) + tan (x) - 2 = 0

0 = 1 + cos (x)

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