What is the general solution for tan(θ)= 8/6 ?

The general solution for tan(θ)= 8/6 is θ=0.92729…+pin

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tan(θ)= 8/6

tan (θ) = \frac{8}{6}

θ = 0.92729 \dots + πn

Degrees

θ = 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{8}{6}

Cancel the common factor:

2

tan (θ) = \frac{4}{3}

Apply trig inverse properties

tan (θ) = \frac{4}{3}

General solutions for

tan (θ) = \frac{4}{3}

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

θ = arctan (\frac{4}{3}) + πn

θ = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

θ = 0.92729 \dots + πn

2 cos (x) tan (x) + tan (x) = 1 + 2 cos (x)

tan (4 5^{\circ} - x) + tan (x) = 1

tan (3 B + 5^{\circ}) = cot (2 B + 1 0^{\circ})

2 cot (x) cos (x) + 7 = 7 csc (x)

2 cos (2 x - \frac{π}{3}) = 1

What is the general solution for tan(θ)= 8/6 ?
The general solution for tan(θ)= 8/6 is θ=0.92729…+pin