What is the general solution for tan(3x)-1=0 ?

The general solution for tan(3x)-1=0 is x= pi/(12)+(pin)/3

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tan(3x)-1=0

tan (3 x) - 1 = 0

x = \frac{π}{12} + \frac{πn}{3}

Solution steps

tan (3 x) - 1 = 0

Move

1

to the right side

tan (3 x) = 1

General solutions for

tan (3 x) = 1

3 x = \frac{π}{4} + πn

Solve

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

x = \frac{π}{12} + \frac{πn}{3}

2 sin (2 x) - 1 = 0

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

csc (x) + 1 = 0

tan^{2} (θ) = 1

cos (x) - cos (2 x) = 0

What is the general solution for tan(3x)-1=0 ?
The general solution for tan(3x)-1=0 is x= pi/(12)+(pin)/3