What is the general solution for tan(θ)= 1/6 ?

The general solution for tan(θ)= 1/6 is θ=0.16514…+pin

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tan(θ)= 1/6

tan (θ) = \frac{1}{6}

θ = 0.16514 \dots + πn

Degrees

θ = 9.46232 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{1}{6}

Apply trig inverse properties

tan (θ) = \frac{1}{6}

General solutions for

tan (θ) = \frac{1}{6}

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

θ = arctan (\frac{1}{6}) + πn

θ = arctan (\frac{1}{6}) + πn

Show solutions in decimal form

θ = 0.16514 \dots + πn

cos (x) = - 12

sin (x) (2 cos (x) + 1) = 0

2 cos^{2} (x) = 2 cos (x)

sin (x - 3 0^{\circ}) = 0

4 sin^{2} (x) + cos (x) = 7

What is the general solution for tan(θ)= 1/6 ?
The general solution for tan(θ)= 1/6 is θ=0.16514…+pin