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

The general solution for tan(x-pi/6)=1 is x=pin+(5pi)/(12)

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tan(x-pi/6)=1

tan (x - \frac{π}{6}) = 1

x = πn + \frac{5 π}{12}

Solution steps

tan (x - \frac{π}{6}) = 1

General solutions for

tan (x - \frac{π}{6}) = 1

x - \frac{π}{6} = \frac{π}{4} + πn

Solve

x - \frac{π}{6} = \frac{π}{4} + πn : x = πn + \frac{5 π}{12}

x = πn + \frac{5 π}{12}

cos^{2} (x) + (\frac{1 - 2}{2}) cos (x) - \frac{2}{4} = 0

tan^{2} (\frac{x}{2}) = - 2

sin^{2} (θ) - 1 = 2 sin (θ)

- 3 sin^{2} (x) + 2 = 0

16 sin (3 x) cos (x) + 83 sin (3 x) - 2 cos (x) - 3 = 0

What is the general solution for tan(x-pi/6)=1 ?
The general solution for tan(x-pi/6)=1 is x=pin+(5pi)/(12)