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Popular >

cos((5x}{10})=\frac{sqrt(2))/2

Solution

cos (\frac{5 x}{10}) = \frac{2}{2}

Solution

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

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Solution steps

cos (\frac{5 x}{10}) = \frac{2}{2}

General solutions for

cos (\frac{5 x}{10}) = \frac{2}{2}

\frac{5 x}{10} = \frac{π}{4} + 2 πn, \frac{5 x}{10} = \frac{7 π}{4} + 2 πn

Solve

\frac{5 x}{10} = \frac{π}{4} + 2 πn : x = \frac{π}{2} + 4 πn

Solve

\frac{5 x}{10} = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{2} + 4 πn

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

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Frequently Asked Questions (FAQ)

What is the general solution for cos((5x}{10})=\frac{sqrt(2))/2 ?
The general solution for cos((5x}{10})=\frac{sqrt(2))/2 is x= pi/2+4pin,x=(7pi)/2+4pin