What is the general solution for 15cos(x)=7+cos(x) ?

The general solution for 15cos(x)=7+cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin

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15cos(x)=7+cos(x)

15 cos (x) = 7 + cos (x)

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

Solution steps

15 cos (x) = 7 + 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

sec (x) = 1 - tan^{2} (x)

x, - sin (x y) y = 0

\frac{1}{cos ( x )} = \frac{5}{3}

6 cot (θ) + 5 = 0

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

What is the general solution for 15cos(x)=7+cos(x) ?
The general solution for 15cos(x)=7+cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin