What is the general solution for 3sin^2(x)=4sin(x) ?

The general solution for 3sin^2(x)=4sin(x) is x=2pin,x=pi+2pin

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3sin^2(x)=4sin(x)

3 sin^{2} (x) = 4 sin (x)

x = 2 πn, x = π + 2 πn

Solution steps

3 sin^{2} (x) = 4 sin (x)

Solve by substitution

sin (x) = 0, sin (x) = \frac{4}{3}

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = \frac{4}{3} :

No Solution

Combine all the solutions

x = 2 πn, x = π + 2 πn

5 sin (θ) = 4

2 cos^{2} (x) - 7 cos (x) = 0

2 cos^{2} (x) - 7 cos (x) = 3

tan (x) = tan (2 x)

2 cos (x) = \frac{1}{2}

What is the general solution for 3sin^2(x)=4sin(x) ?
The general solution for 3sin^2(x)=4sin(x) is x=2pin,x=pi+2pin