What is the general solution for 0=1-2cos(x) ?

The general solution for 0=1-2cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin

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0=1-2cos(x)

0 = 1 - 2 cos (x)

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

Solution steps

0 = 1 - 2 cos (x)

Switch sides

1 - 2 cos (x) = 0

Move

1

to the right side

- 2 cos (x) = - 1

Divide both sides by

- 2

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

General solutions for

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

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

- 5 sin^{2} (θ) + 17 cos (θ) + 9 = 4 cos (θ) - 2

(cos (3 θ)) (cos (θ)) + 1 = (sin (3 θ)) (sin (θ))

4 sin (x) - 3 = 0

9 sin (x) tan (x) = 2 tan (x)

- 5 sin (2 x) = 0

What is the general solution for 0=1-2cos(x) ?
The general solution for 0=1-2cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin