What is the general solution for 4tan(x)+4sqrt(3)=0 ?

The general solution for 4tan(x)+4sqrt(3)=0 is x=(2pi)/3+pin

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4tan(x)+4sqrt(3)=0

4 tan (x) + 43 = 0

x = \frac{2 π}{3} + πn

Degrees

x = 12 0^{\circ} + 18 0^{\circ} n

Solution steps

4 tan (x) + 43 = 0

Move

43

to the right side

4 tan (x) + 43 = 0

Subtract

43

from both sides

4 tan (x) + 43 - 43 = 0 - 43

Simplify

4 tan (x) = - 43

4 tan (x) = - 43

Divide both sides by

4

4 tan (x) = - 43

Divide both sides by

4

\frac{4 tan ( x )}{4} = \frac{- 4 3}{4}

Simplify

\frac{4 tan ( x )}{4} = \frac{- 4 3}{4}

Simplify

\frac{4 tan ( x )}{4} : tan (x)

\frac{4 tan ( x )}{4}

Divide the numbers:

\frac{4}{4} = 1

= tan (x)

Simplify

\frac{- 4 3}{4} : - 3

\frac{- 4 3}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{4 3}{4}

Divide the numbers:

\frac{4}{4} = 1

= - 3

tan (x) = - 3

tan (x) = - 3

tan (x) = - 3

General solutions for

tan (x) = - 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{2 π}{3} + πn

x = \frac{2 π}{3} + πn

What is the general solution for 4tan(x)+4sqrt(3)=0 ?
The general solution for 4tan(x)+4sqrt(3)=0 is x=(2pi)/3+pin