What is the general solution for 3tan(x)-sqrt(3)=0,0<= x<2pi ?

The general solution for 3tan(x)-sqrt(3)=0,0<= x<2pi is x= pi/6 ,x=(7pi)/6

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3tan(x)-sqrt(3)=0,0<= x<2pi

3 tan (x) - 3 = 0, 0 \leq x < 2 π

x = \frac{π}{6}, x = \frac{7 π}{6}

Degrees

x = 3 0^{\circ}, x = 21 0^{\circ}

Solution steps

3 tan (x) - 3 = 0, 0 \leq x < 2 π

Move

3

to the right side

3 tan (x) - 3 = 0

Add

3

to 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{π}{6} + πn

x = \frac{π}{6} + πn

Solutions for the range

0 \leq x < 2 π

x = \frac{π}{6}, x = \frac{7 π}{6}

sec^{2} (θ) = 2

sin^{2} (θ) = 8 - 2 cos^{2} (θ)

10 sin (x) + 16 = 3 sin (x) + 9

2 sin (5 θ) = 0

x, sin^{2} (x) = 1

What is the general solution for 3tan(x)-sqrt(3)=0,0<= x<2pi ?
The general solution for 3tan(x)-sqrt(3)=0,0<= x<2pi is x= pi/6 ,x=(7pi)/6