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

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

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sqrt(3)=tan(x)

3 = tan (x)

x = \frac{π}{3} + πn

Degrees

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

Solution steps

3 = tan (x)

Switch sides

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 (x) tan (x) = 3 sin (x)

12 tan (θ) + 5 = 5 tan (θ) + 5

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

sin^{2} (x) + cos^{2} (x) - 1 + cos (x) - sin (x) = 0

sin (4 x) - cos (2 x) = 0

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