What is the general solution for cos(x)sin(x)+3sin(x)=0 ?

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

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cos(x)sin(x)+3sin(x)=0

cos (x) sin (x) + 3 sin (x) = 0

x = 2 πn, x = π + 2 πn

Solution steps

cos (x) sin (x) + 3 sin (x) = 0

Factor

cos (x) sin (x) + 3 sin (x) : sin (x) (cos (x) + 3)

sin (x) (cos (x) + 3) = 0

Solving each part separately

sin (x) = 0 or cos (x) + 3 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

cos (x) + 3 = 0 :

No Solution

Combine all the solutions

x = 2 πn, x = π + 2 πn

3 - 3 cos^{2} (θ) = 1 + sin^{2} (θ)

33 cot (θ) + 6 = 9

cos (2 x) = 2 sin (x)

sin (θ) tan (θ) - 3 sin (θ) = 0

53 tan (x) - 5 = 0

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