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

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

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tan(φ)=sqrt(3)

tan (φ) = 3

φ = \frac{π}{3} + πn

Degrees

φ = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (φ) = 3

General solutions for

tan (φ) = 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}

φ = \frac{π}{3} + πn

φ = \frac{π}{3} + πn

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

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

1 + tan^{2} (x) = cot^{2} (x)

1 - 4 tan (3 x + 1) = 17

sin (x) cos (x) + sin (x) = 3 cos^{2} (x) + 3 cos (x)

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