What is the general solution for tan(θ)= 12/5 ?

The general solution for tan(θ)= 12/5 is θ=1.17600…+pin

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tan(θ)= 12/5

tan (θ) = \frac{12}{5}

θ = 1.17600 \dots + πn

Degrees

θ = 67.38013 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{12}{5}

Apply trig inverse properties

tan (θ) = \frac{12}{5}

General solutions for

tan (θ) = \frac{12}{5}

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

θ = arctan (\frac{12}{5}) + πn

θ = arctan (\frac{12}{5}) + πn

Show solutions in decimal form

θ = 1.17600 \dots + πn

2 cos^{2} (t) = 1 - cos (t)

sec^{2} (θ) + sec (θ) = 0

cos (2 x) - 3 cos (x) + 2 = 0

2 cos (θ) + 3 = 2

sin (2 x + \frac{π}{6}) = \frac{1}{2}

What is the general solution for tan(θ)= 12/5 ?
The general solution for tan(θ)= 12/5 is θ=1.17600…+pin