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

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

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

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

x = 2 πn, x = π + 2 πn

Solution steps

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

Solve by substitution

sin (x) = \frac{3}{2}, sin (x) = 0

sin (x) = \frac{3}{2} :

No Solution

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

0.32 = 0.59406 cos (x)

x, 4 cos (x) = 0

sec (3 x) = - \frac{2 3}{3}

cos (x) + (1 - cos^{2} (x)) 2 = 0

2 cos (3 θ) = 0

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