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Popular >

sin(6x)=-1/2

Solution

sin (6 x) = - \frac{1}{2}

Solution

x = \frac{7 π}{36} + \frac{πn}{3}, x = \frac{11 π}{36} + \frac{πn}{3}

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Solution steps

sin (6 x) = - \frac{1}{2}

General solutions for

sin (6 x) = - \frac{1}{2}

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

Solve

6 x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{36} + \frac{πn}{3}

Solve

6 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{36} + \frac{πn}{3}

x = \frac{7 π}{36} + \frac{πn}{3}, x = \frac{11 π}{36} + \frac{πn}{3}

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Frequently Asked Questions (FAQ)

What is the general solution for sin(6x)=-1/2 ?
The general solution for sin(6x)=-1/2 is x=(7pi}{36}+(pin)/3 ,x=(11pi)/(36)+\frac{pin)/3