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

cos^{2} (θ) - \frac{3}{2} = \frac{5}{2} cos (θ)

tan (x) = - \frac{1}{8}

sin (x) cot (x) = 1

sin (θ) = 0.4484

sin (5 x - 28) = cos (3 x - 50)

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