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

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

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tan(θ)=(3sqrt(3))/3

tan (θ) = \frac{3 3}{3}

θ = \frac{π}{3} + πn

Degrees

θ = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{3 3}{3}

Divide the numbers:

\frac{3}{3} = 1

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{π}{3} + πn

θ = \frac{π}{3} + πn

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

2 = sec (x) tan (x)

cos (x) = \frac{9}{13}

cos^{2} (x) = \frac{( 6 k - 9 )}{10}

cot (x) + csc (x) = - 1

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