What is the general solution for tan(θ)= pi/6 ?

The general solution for tan(θ)= pi/6 is θ=0.48234…+pin

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tan(θ)= pi/6

tan (θ) = \frac{π}{6}

θ = 0.48234 \dots + πn

Degrees

θ = 27.63649 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{π}{6}

Apply trig inverse properties

tan (θ) = \frac{π}{6}

General solutions for

tan (θ) = \frac{π}{6}

tan (x) = a \Rightarrow x = arctan (a) + πn

θ = arctan (\frac{π}{6}) + πn

θ = arctan (\frac{π}{6}) + πn

Show solutions in decimal form

θ = 0.48234 \dots + πn

\frac{1}{tan ^{2} ( x )} - cos^{2} (x) = cos^{2} (x) - cot^{2} (x)

3 ∣ sin (3 θ) ∣ = 0

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

2 sin (x) cos (x) = 3 cos (x)

33 cos (x) - 6 sin (x) cos (x) = 0

What is the general solution for tan(θ)= pi/6 ?
The general solution for tan(θ)= pi/6 is θ=0.48234…+pin