What is the general solution for tan(θ/2+pi/3)=1 ?

The general solution for tan(θ/2+pi/3)=1 is θ=2pin-pi/6

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tan(θ/2+pi/3)=1

tan (\frac{θ}{2} + \frac{π}{3}) = 1

θ = 2 πn - \frac{π}{6}

Solution steps

tan (\frac{θ}{2} + \frac{π}{3}) = 1

General solutions for

tan (\frac{θ}{2} + \frac{π}{3}) = 1

\frac{θ}{2} + \frac{π}{3} = \frac{π}{4} + πn

Solve

\frac{θ}{2} + \frac{π}{3} = \frac{π}{4} + πn : θ = 2 πn - \frac{π}{6}

θ = 2 πn - \frac{π}{6}

2 sin (π θ) = 1

23 sin (\frac{x}{2}) = 3

2 cos (θ) = - 1

sin (θ) = \frac{2}{5}

cos (2 x) - cos (x) = 0, 0 \leq x \leq 2 π

What is the general solution for tan(θ/2+pi/3)=1 ?
The general solution for tan(θ/2+pi/3)=1 is θ=2pin-pi/6