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

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

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

2 tan (x) - 23 = 0

x = \frac{π}{3} + πn

Degrees

x = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

2 tan (x) - 23 = 0

Move

23

to the right side

2 tan (x) - 23 = 0

Add

23

to both sides

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

Simplify

2 tan (x) = 23

2 tan (x) = 23

Divide both sides by

2

2 tan (x) = 23

Divide both sides by

2

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

Simplify

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{π}{3} + πn

x = \frac{π}{3} + πn

sin^{2} (x) + cos (x) = - 1

2 sin^{2} (\frac{x}{4}) - 3 cos (\frac{x}{4}) = 0

cos^{2} (A) + sin^{2} (A) = \frac{1}{sin ^{2} ( A )}

cos (4 θ) = 1

tan (2 x) + sec (2 x) = 3

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