What is the general solution for 0=4cos(120x) ?

The general solution for 0=4cos(120x) is x= pi/(240)+(pin)/(60),x= pi/(80)+(pin)/(60)

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0=4cos(120x)

0 = 4 cos (120 x)

x = \frac{π}{240} + \frac{πn}{60}, x = \frac{π}{80} + \frac{πn}{60}

Solution steps

0 = 4 cos (120 x)

Switch sides

4 cos (120 x) = 0

Divide both sides by

4

cos (120 x) = 0

General solutions for

cos (120 x) = 0

120 x = \frac{π}{2} + 2 πn, 120 x = \frac{3 π}{2} + 2 πn

Solve

120 x = \frac{π}{2} + 2 πn : x = \frac{π}{240} + \frac{πn}{60}

Solve

120 x = \frac{3 π}{2} + 2 πn : x = \frac{π}{80} + \frac{πn}{60}

x = \frac{π}{240} + \frac{πn}{60}, x = \frac{π}{80} + \frac{πn}{60}

(2 sin (x) - 1) (cos (x) - 2) = 0

7 - 6 sin (x) = 3 + 2 sin (x)

cos (θ) = \frac{2 \cdot 1 0 ^{- 5}}{54 \cdot 1 0 ^{- 6}}

sin (a) = \frac{9}{41}

sin (x) = \frac{10}{300}

What is the general solution for 0=4cos(120x) ?
The general solution for 0=4cos(120x) is x= pi/(240)+(pin)/(60),x= pi/(80)+(pin)/(60)