What is the general solution for 7cos(x)=3+cos(x) ?

The general solution for 7cos(x)=3+cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin

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7cos(x)=3+cos(x)

7 cos (x) = 3 + cos (x)

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

Solution steps

7 cos (x) = 3 + 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 (t) = \frac{3}{4}

cos (2 θ) = \frac{- 3}{2}

cos (θ) = 0.65

- \frac{2}{3} sin (x) + \frac{1}{3} sin (2 x) = 0

cos (θ) = 0.84

What is the general solution for 7cos(x)=3+cos(x) ?
The general solution for 7cos(x)=3+cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin