What is the general solution for tan(θ)= 34400/254 ?

The general solution for tan(θ)= 34400/254 is θ=1.56341…+pin

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tan(θ)= 34400/254

tan (θ) = \frac{34400}{254}

θ = 1.56341 \dots + πn

Degrees

θ = 89.57695 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{34400}{254}

Cancel the common factor:

2

tan (θ) = \frac{17200}{127}

Apply trig inverse properties

tan (θ) = \frac{17200}{127}

General solutions for

tan (θ) = \frac{17200}{127}

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

θ = arctan (\frac{17200}{127}) + πn

θ = arctan (\frac{17200}{127}) + πn

Show solutions in decimal form

θ = 1.56341 \dots + πn

What is the general solution for tan(θ)= 34400/254 ?
The general solution for tan(θ)= 34400/254 is θ=1.56341…+pin