What is the general solution for 6cos(x)=2+2cos(x) ?

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

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6cos(x)=2+2cos(x)

6 cos (x) = 2 + 2 cos (x)

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

Solution steps

6 cos (x) = 2 + 2 cos (x)

Solve by substitution

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

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

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

cosh (z) = 1, cosh (z) = - 2

tan (2 x) = \frac{- 3}{3}

x, - 4 cos (x) = - sin^{2} (x) + 4

5 cos (c) + 23 = 0

cos (2 θ) = - \frac{28}{53}

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