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Popular >

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

Solution

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

Solution

x = 2 πn, x = π + 2 πn, x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

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Solution steps

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

Solve by substitution

sin (x) = 0, sin (x) = \frac{1}{2}

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Popular Examples

5 - 6 cos (θ) = 0

cos(x+pi/6)cos(x-pi/6)=cos(2x)

cos (x + \frac{π}{6}) cos (x - \frac{π}{6}) = cos (2 x)

arctan(x/(12))-arctan(x)=-pi

arctan (\frac{x}{12}) - arctan (x) = - π

solvefor θ,z*p*cos(θ)=5 solve for

θ, z \cdot p \cdot cos (θ) = 5

cos(4x)+sin(2x)=0

cos (4 x) + sin (2 x) = 0

Frequently Asked Questions (FAQ)

What is the general solution for sin^2(x)+sin(x)=3sin^2(x) ?
The general solution for sin^2(x)+sin(x)=3sin^2(x) is x=2pin,x=pi+2pin,x= pi/6+2pin,x=(5pi)/6+2pin