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Popular >

cos(3x)= 1/(sqrt(2))

Solution

cos (3 x) = \frac{1}{2}

Solution

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{7 π}{12} + \frac{2 πn}{3}

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Solution steps

cos (3 x) = \frac{1}{2}

Simplify

\frac{1}{2} : \frac{2}{2}

General solutions for

cos (3 x) = \frac{2}{2}

3 x = \frac{π}{4} + 2 πn, 3 x = \frac{7 π}{4} + 2 πn

Solve

3 x = \frac{π}{4} + 2 πn : x = \frac{π}{12} + \frac{2 πn}{3}

Solve

3 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{12} + \frac{2 πn}{3}

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{7 π}{12} + \frac{2 πn}{3}

Popular Examples

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Frequently Asked Questions (FAQ)

What is the general solution for cos(3x)= 1/(sqrt(2)) ?
The general solution for cos(3x)= 1/(sqrt(2)) is x= pi/(12)+(2pin)/3 ,x=(7pi}{12}+\frac{2pin)/3