What is the general solution for tan(θ)= 220/370 ?

The general solution for tan(θ)= 220/370 is θ=0.53643…+pin

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tan(θ)= 220/370

tan (θ) = \frac{220}{370}

θ = 0.53643 \dots + πn

Degrees

θ = 30.73548 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{220}{370}

Cancel the common factor:

10

tan (θ) = \frac{22}{37}

Apply trig inverse properties

tan (θ) = \frac{22}{37}

General solutions for

tan (θ) = \frac{22}{37}

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

θ = arctan (\frac{22}{37}) + πn

θ = arctan (\frac{22}{37}) + πn

Show solutions in decimal form

θ = 0.53643 \dots + πn

What is the general solution for tan(θ)= 220/370 ?
The general solution for tan(θ)= 220/370 is θ=0.53643…+pin