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Popular >

0=3cos(3x)

Solution

0 = 3 cos (3 x)

Solution

x = \frac{π}{6} + \frac{2 πn}{3}, x = \frac{π}{2} + \frac{2 πn}{3}

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Solution steps

0 = 3 cos (3 x)

Switch sides

3 cos (3 x) = 0

Divide both sides by

3

cos (3 x) = 0

General solutions for

cos (3 x) = 0

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

Solve

3 x = \frac{π}{2} + 2 πn : x = \frac{π}{6} + \frac{2 πn}{3}

Solve

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

x = \frac{π}{6} + \frac{2 πn}{3}, x = \frac{π}{2} + \frac{2 πn}{3}

Popular Examples

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6 cos (x) + 18 = 0

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

Frequently Asked Questions (FAQ)

What is the general solution for 0=3cos(3x) ?
The general solution for 0=3cos(3x) is x= pi/6+(2pin)/3 ,x= pi/2+(2pin)/3