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

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

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tan(θ)=-sqrt(3)

tan (θ) = - 3

θ = \frac{2 π}{3} + πn

Degrees

θ = 12 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = - 3

General solutions for

tan (θ) = - 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}

θ = \frac{2 π}{3} + πn

θ = \frac{2 π}{3} + πn

tan (arccos (\frac{2}{3}))

sin^{2} (12 0^{\circ}) + cos^{2} (12 0^{\circ})

2 sin^{2} (x) = 1

sin (2 x) = sin (x)

cos (4 5^{\circ})

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