What is the general solution for tan(θ)=(-12)/5 ?

The general solution for tan(θ)=(-12)/5 is θ=-1.17600…+pin

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tan(θ)=(-12)/5

tan (θ) = \frac{- 12}{5}

θ = - 1.17600 \dots + πn

Degrees

θ = - 67.38013 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{- 12}{5}

Apply the fraction rule:

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

tan (θ) = - \frac{12}{5}

Apply trig inverse properties

tan (θ) = - \frac{12}{5}

General solutions for

tan (θ) = - \frac{12}{5}

tan (x) = - a \Rightarrow x = arctan (- a) + πn

θ = arctan (- \frac{12}{5}) + πn

θ = arctan (- \frac{12}{5}) + πn

Show solutions in decimal form

θ = - 1.17600 \dots + πn

\frac{1 + tan ( \frac{x}{2} )}{1 - tan ( \frac{x}{2} )} = 4.137131

cos (θ) = 0.51

csc (θ) = \frac{- 2 3}{3}

cos (x) = \frac{32}{50}

tan (\frac{A}{2}) = 1.02

What is the general solution for tan(θ)=(-12)/5 ?
The general solution for tan(θ)=(-12)/5 is θ=-1.17600…+pin