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

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

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cos(x)sin(x)=0

cos (x) sin (x) = 0

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

Solution steps

cos (x) sin (x) = 0

Solving each part separately

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

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

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

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

3 tan^{2} (θ) = 1

3 cos (x) = 2 sin^{2} (x)

2 sec^{2} (x) - tan^{4} (x) = - 1

4 sin (θ) = 2

6 cos^{2} (x) = 3

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