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

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

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tan(a)=sqrt(3)

tan (a) = 3

a = \frac{π}{3} + πn

Degrees

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

Solution steps

tan (a) = 3

General solutions for

tan (a) = 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}

a = \frac{π}{3} + πn

a = \frac{π}{3} + πn

tan (x) + 1 = 3 + 3 cot (x)

2 sin (\frac{x}{2}) = sin (x)

cos (5 x) + cos (7 x) = 0

3 tan (4 x) - 1 = 0

2 sin (θ) = 3, 0 \leq θ < 2 π

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