What is the general solution for 6tan(x)-2sqrt(3)=0 ?

The general solution for 6tan(x)-2sqrt(3)=0 is x= pi/6+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6tan(x)-2sqrt(3)=0

6 tan (x) - 23 = 0

x = \frac{π}{6} + πn

Degrees

x = 3 0^{\circ} + 18 0^{\circ} n

Solution steps

6 tan (x) - 23 = 0

Move

23

to the right side

6 tan (x) - 23 = 0

Add

23

to both sides

6 tan (x) - 23 + 23 = 0 + 23

Simplify

6 tan (x) = 23

6 tan (x) = 23

Divide both sides by

6

6 tan (x) = 23

Divide both sides by

6

\frac{6 tan ( x )}{6} = \frac{2 3}{6}

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

sec (θ) = \frac{5}{4}

2 cos^{3} (x) - cos^{2} (x) = cos (x)

4 cos^{2} (x) - 2 = 0, 0 \leq x \leq 2 π

2 sin^{2} (x) + cos (x) - 1 = 0, 0 \leq x \leq 2 π

sin (x) - tan (x) = cos (x) - 1

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