What is the general solution for tan(θ)= 15/20 ?

The general solution for tan(θ)= 15/20 is θ=0.64350…+pin

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tan(θ)= 15/20

tan (θ) = \frac{15}{20}

θ = 0.64350 \dots + πn

Degrees

θ = 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{15}{20}

Cancel the common factor:

5

tan (θ) = \frac{3}{4}

Apply trig inverse properties

tan (θ) = \frac{3}{4}

General solutions for

tan (θ) = \frac{3}{4}

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

θ = arctan (\frac{3}{4}) + πn

θ = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

θ = 0.64350 \dots + πn

What is the general solution for tan(θ)= 15/20 ?
The general solution for tan(θ)= 15/20 is θ=0.64350…+pin