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

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

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2sin(x)cos(x)=0

2 sin (x) cos (x) = 0

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

Solution steps

2 sin (x) cos (x) = 0

Solving each part separately

sin (x) = 0 or cos (x) = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Combine all the solutions

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

tan^{5} (x) - 9 tan (x) = 0

1 - cos (θ) = \frac{1}{2}

(tan (θ) - 1) (cos (θ) + 1) = 0

sin^{2} (θ) = cos^{2} (θ)

x, sin (x) = 0

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