What is the general solution for tan(3x-pi)=1 ?

The general solution for tan(3x-pi)=1 is x= pi/3+pi/(12)+(pin)/3

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tan(3x-pi)=1

tan (3 x - π) = 1

x = \frac{π}{3} + \frac{π}{12} + \frac{πn}{3}

Solution steps

tan (3 x - π) = 1

General solutions for

tan (3 x - π) = 1

3 x - π = \frac{π}{4} + πn

Solve

3 x - π = \frac{π}{4} + πn : x = \frac{π}{3} + \frac{π}{12} + \frac{πn}{3}

x = \frac{π}{3} + \frac{π}{12} + \frac{πn}{3}

sin (2 x) cos (x) + cos (2 x) sin (x) = 1

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

- 10 sin (θ) + 2 = 2

cot (u) - csc (u) = \frac{sin ( u )}{1 + cos ( u )}

sin (x) = \frac{5}{3}

What is the general solution for tan(3x-pi)=1 ?
The general solution for tan(3x-pi)=1 is x= pi/3+pi/(12)+(pin)/3