What is the general solution for -6cos(x)sin(x)=0 ?

The general solution for -6cos(x)sin(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin,x=2pin,x=pi+2pin

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-6cos(x)sin(x)=0

- 6 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

- 6 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

tan (2 x - \frac{π}{6}) = 3

sin^{2} (x) + 6 sin (x) = 2 sin (x) - 3

sin (x) + cos (x) = \frac{1}{5}

cos (\frac{2 x}{3}) - 1 = 0

4 sin^{2} (θ) - 11 sin (θ) + 7 = 0

What is the general solution for -6cos(x)sin(x)=0 ?
The general solution for -6cos(x)sin(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin,x=2pin,x=pi+2pin