What is the general solution for -8cos(x)sin(x)=0 ?

The general solution for -8cos(x)sin(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin,x=2pin,x=pi+2pin

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-8cos(x)sin(x)=0

- 8 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

- 8 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

0 = cot (x)

sin^{2} (x) - 3 sin (x) - 2 = 0

- 11 tan (x) + 1 = - 2 (4 + tan (x))

16 = - 10 cos (\frac{2 π}{150} t) + 10

2 cos (x) - 3 = 0, 0 \leq x \leq 2 π

What is the general solution for -8cos(x)sin(x)=0 ?
The general solution for -8cos(x)sin(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin,x=2pin,x=pi+2pin