What is the general solution for cos(θ)=1-cos(θ) ?

The general solution for cos(θ)=1-cos(θ) is θ= pi/3+2pin,θ=(5pi)/3+2pin

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cos(θ)=1-cos(θ)

cos (θ) = 1 - cos (θ)

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

Solution steps

cos (θ) = 1 - cos (θ)

Solve by substitution

cos (θ) = \frac{1}{2}

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

Combine all the solutions

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

tan (θ) = - 1.5

tan (θ) = \frac{30}{20}

10 cos (θ) - 53 = 0

tan (θ) = \frac{8}{- 6}

tan (θ) = - 0.5

What is the general solution for cos(θ)=1-cos(θ) ?
The general solution for cos(θ)=1-cos(θ) is θ= pi/3+2pin,θ=(5pi)/3+2pin