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

The general solution for tan(θ/2-pi/6)=1 is θ=2pin+(5pi)/6

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tan(θ/2-pi/6)=1

tan (\frac{θ}{2} - \frac{π}{6}) = 1

θ = 2 πn + \frac{5 π}{6}

Solution steps

tan (\frac{θ}{2} - \frac{π}{6}) = 1

General solutions for

tan (\frac{θ}{2} - \frac{π}{6}) = 1

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

Solve

\frac{θ}{2} - \frac{π}{6} = \frac{π}{4} + πn : θ = 2 πn + \frac{5 π}{6}

θ = 2 πn + \frac{5 π}{6}

1 + 2 sin (θ) = csc (θ)

- 6 = - 4 + sec (x + \frac{π}{4})

2 sin^{2} (x) + 3 sin (x) = 2

tan (x) sec (x) + 3 tan (x) = 0

\frac{csc ( b )}{csc ( b )} = \frac{1}{1 - sin ^{2} ( b )}

What is the general solution for tan(θ/2-pi/6)=1 ?
The general solution for tan(θ/2-pi/6)=1 is θ=2pin+(5pi)/6