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+pi/6

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tan(θ/2+pi/6)=1

tan (\frac{θ}{2} + \frac{π}{6}) = 1

θ = 2 πn + \frac{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{π}{6}

θ = 2 πn + \frac{π}{6}

sec (x) = - 2, 0 < x < 2 π

1 - cos (2 x) = 0

sin (2 x) cos (x) = cos (x)

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

cos (x) = \frac{7}{16}

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+pi/6