What is the general solution for tan(θ)= 8/12 ?

The general solution for tan(θ)= 8/12 is θ=0.58800…+pin

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tan(θ)= 8/12

tan (θ) = \frac{8}{12}

θ = 0.58800 \dots + πn

Degrees

θ = 33.69006 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{8}{12}

Cancel the common factor:

4

tan (θ) = \frac{2}{3}

Apply trig inverse properties

tan (θ) = \frac{2}{3}

General solutions for

tan (θ) = \frac{2}{3}

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

θ = arctan (\frac{2}{3}) + πn

θ = arctan (\frac{2}{3}) + πn

Show solutions in decimal form

θ = 0.58800 \dots + πn

sin (t) + cos (t) = 0

0 = cos (3 x)

tan (x) = \frac{12}{14}

sin (x) = cos^{2} (x)

tan (x) = - 7

What is the general solution for tan(θ)= 8/12 ?
The general solution for tan(θ)= 8/12 is θ=0.58800…+pin