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Popular >

sin^2(x)+1/2 sin(x)=0

Solution

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

Solution

x = 2 πn, x = π + 2 πn, x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

+1

Solution steps

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

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{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for sin^2(x)+1/2 sin(x)=0 ?
The general solution for sin^2(x)+1/2 sin(x)=0 is x=2pin,x=pi+2pin,x=(7pi)/6+2pin,x=(11pi)/6+2pin