What is the general solution for 3tan(2x)+sqrt(3)=0 ?

The general solution for 3tan(2x)+sqrt(3)=0 is x=(5pi}{12}+\frac{pin)/2

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3tan(2x)+sqrt(3)=0

3 tan (2 x) + 3 = 0

x = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

3 tan (2 x) + 3 = 0

Move

3

to the right side

3 tan (2 x) = - 3

Divide both sides by

3

tan (2 x) = - \frac{3}{3}

General solutions for

tan (2 x) = - \frac{3}{3}

2 x = \frac{5 π}{6} + πn

Solve

2 x = \frac{5 π}{6} + πn : x = \frac{5 π}{12} + \frac{πn}{2}

x = \frac{5 π}{12} + \frac{πn}{2}

tan (2 x + 13) = cot (x + 5 3^{\circ})

sin (2 x) - 3 sin (x) = 0

2 sin (2 x) + 3 cos (x) = 0

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

- 63 cot (θ) + 1 = - 5

What is the general solution for 3tan(2x)+sqrt(3)=0 ?
The general solution for 3tan(2x)+sqrt(3)=0 is x=(5pi}{12}+\frac{pin)/2