What is the general solution for tan(3x)+sqrt(3)=0 ?

The general solution for tan(3x)+sqrt(3)=0 is x=(2pi)/9+(pin)/3

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tan(3x)+sqrt(3)=0

tan (3 x) + 3 = 0

x = \frac{2 π}{9} + \frac{πn}{3}

Solution steps

tan (3 x) + 3 = 0

Move

3

to the right side

tan (3 x) = - 3

General solutions for

tan (3 x) = - 3

3 x = \frac{2 π}{3} + πn

Solve

3 x = \frac{2 π}{3} + πn : x = \frac{2 π}{9} + \frac{πn}{3}

x = \frac{2 π}{9} + \frac{πn}{3}

sin (θ) = \frac{2 2}{3}

cos (θ) = \frac{1}{2}

cos (3 x) = sin (3 x)

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

cos (2 x) + 5 cos (x) = 2

What is the general solution for tan(3x)+sqrt(3)=0 ?
The general solution for tan(3x)+sqrt(3)=0 is x=(2pi)/9+(pin)/3