What is the general solution for 2+2cos(θ)=2 ?

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

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2+2cos(θ)=2

2 + 2 cos (θ) = 2

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

Solution steps

2 + 2 cos (θ) = 2

Subtract

2

from both sides

2 + 2 cos (θ) - 2 = 2 - 2

Simplify

2 cos (θ) = 0

Divide both sides by

2

cos (θ) = 0

General solutions for

cos (θ) = 0

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

1 - sec^{2} (x) = 0

3 cot^{2} (y - \frac{π}{4}) = 1

sin^{2} (x) - tan (x) cos (x) = 0

cos (t) = - \frac{5}{13}

8 cos (x) = - 4

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