What is the general solution for tan(θ)= 50/60 ?

The general solution for tan(θ)= 50/60 is θ=0.69473…+pin

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tan(θ)= 50/60

tan (θ) = \frac{50}{60}

θ = 0.69473 \dots + πn

Degrees

θ = 39.80557 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{50}{60}

Cancel the common factor:

10

tan (θ) = \frac{5}{6}

Apply trig inverse properties

tan (θ) = \frac{5}{6}

General solutions for

tan (θ) = \frac{5}{6}

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

θ = arctan (\frac{5}{6}) + πn

θ = arctan (\frac{5}{6}) + πn

Show solutions in decimal form

θ = 0.69473 \dots + πn

What is the general solution for tan(θ)= 50/60 ?
The general solution for tan(θ)= 50/60 is θ=0.69473…+pin