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Popular >

sec(5x)= 2/(sqrt(3))

Solution

sec (5 x) = \frac{2}{3}

Solution

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

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Solution steps

sec (5 x) = \frac{2}{3}

Simplify

\frac{2}{3} : \frac{2 3}{3}

General solutions for

sec (5 x) = \frac{2 3}{3}

5 x = \frac{π}{6} + 2 πn, 5 x = \frac{11 π}{6} + 2 πn

Solve

5 x = \frac{π}{6} + 2 πn : x = \frac{π}{30} + \frac{2 πn}{5}

Solve

5 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{30} + \frac{2 πn}{5}

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

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Frequently Asked Questions (FAQ)

What is the general solution for sec(5x)= 2/(sqrt(3)) ?
The general solution for sec(5x)= 2/(sqrt(3)) is x= pi/(30)+(2pin)/5 ,x=(11pi}{30}+\frac{2pin)/5