What is the general solution for tan(x)sin^2(x)-3tan(x)=0 ?

The general solution for tan(x)sin^2(x)-3tan(x)=0 is x=pin

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tan(x)sin^2(x)-3tan(x)=0

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

x = πn

Solution steps

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

Factor

tan (x) sin^{2} (x) - 3 tan (x) : tan (x) (sin (x) + 3) (sin (x) - 3)

tan (x) (sin (x) + 3) (sin (x) - 3) = 0

Solving each part separately

tan (x) = 0 or sin (x) + 3 = 0 or sin (x) - 3 = 0

tan (x) = 0 : x = πn

sin (x) + 3 = 0 :

No Solution

sin (x) - 3 = 0 :

No Solution

Combine all the solutions

x = πn

sec^{2} (θ) - 6 = - 4

cos^{2} (x) = 1 - cos (x)

sin (x) = \frac{53}{59}

y, z = sin (y)

2 cos (2 x) - 1 = 1 - 2 sin (2 x)

What is the general solution for tan(x)sin^2(x)-3tan(x)=0 ?
The general solution for tan(x)sin^2(x)-3tan(x)=0 is x=pin