What is the general solution for tan(θ)= 4/(-3) ?

The general solution for tan(θ)= 4/(-3) is θ=-0.92729…+pin

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tan(θ)= 4/(-3)

tan (θ) = \frac{4}{- 3}

θ = - 0.92729 \dots + πn

Degrees

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

Solution steps

tan (θ) = \frac{4}{- 3}

Apply the fraction rule:

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

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

tan (3 x + 2 6^{\circ}) = cot (5 x)

sin (x) = \frac{3}{5}, \frac{π}{2} \leq x \leq π

2 sin^{2} (θ) + cos (θ) = 2

x, - 31 y = sin (x)

x, sin (3 x) = 1

What is the general solution for tan(θ)= 4/(-3) ?
The general solution for tan(θ)= 4/(-3) is θ=-0.92729…+pin