What is the general solution for tan(θ)= 4/6 ?

The general solution for tan(θ)= 4/6 is θ=0.58800…+pin

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tan(θ)= 4/6

tan (θ) = \frac{4}{6}

θ = 0.58800 \dots + πn

Degrees

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

Solution steps

tan (θ) = \frac{4}{6}

Cancel the common factor:

2

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

tan (θ) = \frac{4}{7}

tan (θ) = \frac{4}{8}

4 cos (x) + 23 sin (x) = 3

cos (2 θ) = 2 - cos (2 θ)

7 tan (x) cos (x) = 2 cos (x)

What is the general solution for tan(θ)= 4/6 ?
The general solution for tan(θ)= 4/6 is θ=0.58800…+pin