What is the general solution for tan(θ)= 2/8 ?

The general solution for tan(θ)= 2/8 is θ=0.24497…+pin

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tan(θ)= 2/8

tan (θ) = \frac{2}{8}

θ = 0.24497 \dots + πn

Degrees

θ = 14.03624 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{2}{8}

Cancel the common factor:

2

tan (θ) = \frac{1}{4}

Apply trig inverse properties

tan (θ) = \frac{1}{4}

General solutions for

tan (θ) = \frac{1}{4}

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

θ = arctan (\frac{1}{4}) + πn

θ = arctan (\frac{1}{4}) + πn

Show solutions in decimal form

θ = 0.24497 \dots + πn

What is the general solution for tan(θ)= 2/8 ?
The general solution for tan(θ)= 2/8 is θ=0.24497…+pin