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Popular >

sin(4x)= 1/2

Solution

sin (4 x) = \frac{1}{2}

Solution

x = \frac{π}{24} + \frac{πn}{2}, x = \frac{5 π}{24} + \frac{πn}{2}

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Solution steps

sin (4 x) = \frac{1}{2}

General solutions for

sin (4 x) = \frac{1}{2}

4 x = \frac{π}{6} + 2 πn, 4 x = \frac{5 π}{6} + 2 πn

Solve

4 x = \frac{π}{6} + 2 πn : x = \frac{π}{24} + \frac{πn}{2}

Solve

4 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{24} + \frac{πn}{2}

x = \frac{π}{24} + \frac{πn}{2}, x = \frac{5 π}{24} + \frac{πn}{2}

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Frequently Asked Questions (FAQ)

What is the general solution for sin(4x)= 1/2 ?
The general solution for sin(4x)= 1/2 is x= pi/(24)+(pin)/2 ,x=(5pi}{24}+\frac{pin)/2