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

The general solution for 3tan(x/3)+sqrt(3)=0 is x=(5pi)/2+3pin

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

3 tan (\frac{x}{3}) + 3 = 0

x = \frac{5 π}{2} + 3 πn

Solution steps

3 tan (\frac{x}{3}) + 3 = 0

Move

3

to the right side

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

Divide both sides by

3

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

General solutions for

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

\frac{x}{3} = \frac{5 π}{6} + πn

Solve

\frac{x}{3} = \frac{5 π}{6} + πn : x = \frac{5 π}{2} + 3 πn

x = \frac{5 π}{2} + 3 πn

0 = 2 sin (2 x)

sec^{2} (x) = tan (x) + 1

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

- \frac{2}{3} cos (3 θ) = 1, 0 \leq θ \leq 2 π

8 (cos (x))^{2} - 6 sin (x) = 3

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