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

The general solution for 3tan(x)+sqrt(3)=0 is x=(5pi)/6+pin

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

3 tan (x) + 3 = 0

x = \frac{5 π}{6} + πn

Degrees

x = 15 0^{\circ} + 18 0^{\circ} n

Solution steps

3 tan (x) + 3 = 0

Move

3

to the right side

3 tan (x) + 3 = 0

Subtract

3

from both sides

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

Simplify

3 tan (x) = - 3

3 tan (x) = - 3

Divide both sides by

3

3 tan (x) = - 3

Divide both sides by

3

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

Simplify

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

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

General solutions for

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

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = \frac{5 π}{6} + πn

x = \frac{5 π}{6} + πn

(2 sin^{2} (x) - 1) (3 tan^{2} (x) - 1) = 0

sec (x) - 1 = 0

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

csc (θ) = - 2

3 cos (2 t) + 4 = 1

What is the general solution for 3tan(x)+sqrt(3)=0 ?
The general solution for 3tan(x)+sqrt(3)=0 is x=(5pi)/6+pin