What is the general solution for 5cos(x)=5-5cos(x) ?

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

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5cos(x)=5-5cos(x)

5 cos (x) = 5 - 5 cos (x)

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

Solution steps

5 cos (x) = 5 - 5 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

cos (2 A) + cos (A) = 1

2 \cdot 9.19 \cdot sin (x) = 1.5406

csc^{3} (x) - 4 csc (x) = 3 cot^{2} (x)

1 + tan^{2} (θ) = 4 tan^{2} (θ)

(tan (θ) + 1) (cos (θ) + 1) (sin (θ)) = 0

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