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

cos (θ) tan^{2} (θ) = 3 cos (θ)

cos (θ) = 0.56

cos (θ) = 0.17

sin (2 x) - 3 cos (x) = 0

5 cos (x) + 1 = 1

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