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Popular >

6cos(5x)=3

Solution

6 cos (5 x) = 3

Solution

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{π}{3} + \frac{2 πn}{5}

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Solution steps

6 cos (5 x) = 3

Divide both sides by

6

cos (5 x) = \frac{1}{2}

General solutions for

cos (5 x) = \frac{1}{2}

5 x = \frac{π}{3} + 2 πn, 5 x = \frac{5 π}{3} + 2 πn

Solve

5 x = \frac{π}{3} + 2 πn : x = \frac{π}{15} + \frac{2 πn}{5}

Solve

5 x = \frac{5 π}{3} + 2 πn : x = \frac{π}{3} + \frac{2 πn}{5}

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{π}{3} + \frac{2 πn}{5}

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Frequently Asked Questions (FAQ)

What is the general solution for 6cos(5x)=3 ?
The general solution for 6cos(5x)=3 is x= pi/(15)+(2pin)/5 ,x= pi/3+(2pin)/5