What is the general solution for tan(θ)= 6/15 ?

The general solution for tan(θ)= 6/15 is θ=0.38050…+pin

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tan(θ)= 6/15

tan (θ) = \frac{6}{15}

θ = 0.38050 \dots + πn

Degrees

θ = 21.80140 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{6}{15}

Cancel the common factor:

3

tan (θ) = \frac{2}{5}

Apply trig inverse properties

tan (θ) = \frac{2}{5}

General solutions for

tan (θ) = \frac{2}{5}

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

θ = arctan (\frac{2}{5}) + πn

θ = arctan (\frac{2}{5}) + πn

Show solutions in decimal form

θ = 0.38050 \dots + πn

What is the general solution for tan(θ)= 6/15 ?
The general solution for tan(θ)= 6/15 is θ=0.38050…+pin