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Popular >

sin(3θ)=-1/2

Solution

sin (3 θ) = - \frac{1}{2}

Solution

θ = \frac{7 π}{18} + \frac{2 πn}{3}, θ = \frac{11 π}{18} + \frac{2 πn}{3}

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Solution steps

sin (3 θ) = - \frac{1}{2}

General solutions for

sin (3 θ) = - \frac{1}{2}

3 θ = \frac{7 π}{6} + 2 πn, 3 θ = \frac{11 π}{6} + 2 πn

Solve

3 θ = \frac{7 π}{6} + 2 πn : θ = \frac{7 π}{18} + \frac{2 πn}{3}

Solve

3 θ = \frac{11 π}{6} + 2 πn : θ = \frac{11 π}{18} + \frac{2 πn}{3}

θ = \frac{7 π}{18} + \frac{2 πn}{3}, θ = \frac{11 π}{18} + \frac{2 πn}{3}

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Frequently Asked Questions (FAQ)

What is the general solution for sin(3θ)=-1/2 ?
The general solution for sin(3θ)=-1/2 is θ=(7pi}{18}+(2pin)/3 ,θ=(11pi)/(18)+\frac{2pin)/3