What is the general solution for tan(θ)= 2/(-3) ?

The general solution for tan(θ)= 2/(-3) is θ=-0.58800…+pin

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tan(θ)= 2/(-3)

tan (θ) = \frac{2}{- 3}

θ = - 0.58800 \dots + πn

Degrees

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

Solution steps

tan (θ) = \frac{2}{- 3}

Apply the fraction rule:

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

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

x, z = arcsin (\frac{x y}{x ^{2} + y ^{2}})

\frac{tan ( x ) + cos ( x )}{( 1 + sin ( x ) )} = \frac{1}{cos ( x )}

sin (θ) = \frac{4}{5}, 0 \leq θ \leq \frac{π}{2}

- cos^{2} (x) + cos (x) + 2 = 0

2 - cos^{2} (x) = 4 sin^{2} (\frac{1}{2} x)

What is the general solution for tan(θ)= 2/(-3) ?
The general solution for tan(θ)= 2/(-3) is θ=-0.58800…+pin