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

Solution steps

tan (θ) = \frac{8}{- 6}

Simplify

\frac{8}{- 6} : - \frac{4}{3}

\frac{8}{- 6}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{8}{6}

Cancel the common factor:

2

= - \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

tan (θ) = - 0.5

cos (x) \cdot sin (x) - 2 cos (x) = 0

sec (4 x) - \frac{2}{3} = 0

cos (θ) = 0.3, cos (2 θ)

(- \frac{2}{3})^{2} + 1 = sec (θ)

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