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

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

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6cos(x)=6-6cos(x)

6 cos (x) = 6 - 6 cos (x)

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

Solution steps

6 cos (x) = 6 - 6 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

sin (θ) = 0.62

sin (θ) = 0.33

3 cot^{2} (3 x) - 9 = 0

0 = cos (5 θ)

cos (x) = - \frac{1}{2}, 0 \leq x < 2 π

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