What is the general solution for 1/2 =cos(θ) ?

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

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1/2 =cos(θ)

\frac{1}{2} = cos (θ)

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

Solution steps

\frac{1}{2} = cos (θ)

Switch sides

cos (θ) = \frac{1}{2}

General solutions for

cos (θ) = \frac{1}{2}

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

\frac{sin ( 2 x )}{1 - cos ( 2 x )} = 1

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

9 sec^{2} (x) - 12 = 0

tan^{2} (x) - 7 tan (x) - 8 = 0

5 tan (x) sin (x) = - 7 sin (x)

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