What is the general solution for tan(3x)=2 ?

The general solution for tan(3x)=2 is x=(1.10714…)/3+(pin)/3

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tan(3x)=2

tan (3 x) = 2

x = \frac{1.10714 \dots}{3} + \frac{πn}{3}

Solution steps

tan (3 x) = 2

Apply trig inverse properties

3 x = arctan (2) + πn

Solve

3 x = arctan (2) + πn : x = \frac{arctan ( 2 )}{3} + \frac{πn}{3}

x = \frac{arctan ( 2 )}{3} + \frac{πn}{3}

Show solutions in decimal form

x = \frac{1.10714 \dots}{3} + \frac{πn}{3}

tan (θ) = 3 - π

sin (x) = \frac{15}{39}

tan (a) = \frac{40}{12.5}

csc (θ) = 1.3127

2 cos^{2} (X) = 1 - sin (X)

What is the general solution for tan(3x)=2 ?
The general solution for tan(3x)=2 is x=(1.10714…)/3+(pin)/3