What is the general solution for 0=-18cos(3x) ?

The general solution for 0=-18cos(3x) is x= pi/6+(2pin)/3 ,x= pi/2+(2pin)/3

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0=-18cos(3x)

0 = - 18 cos (3 x)

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

Solution steps

0 = - 18 cos (3 x)

Switch sides

- 18 cos (3 x) = 0

Divide both sides by

- 18

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}

cos^{2} (2 x) - 3 cos (2 x) = 0

csc^{2} (x) = sin (x)

cos (θ) = \frac{4}{7}, tan (θ) < 0

tan (θ) = \frac{4}{2}

e^{s i n (x)} - e^{- s i n (x)} = 2

What is the general solution for 0=-18cos(3x) ?
The general solution for 0=-18cos(3x) is x= pi/6+(2pin)/3 ,x= pi/2+(2pin)/3