What is the general solution for tan(θ)=(-4)/2 ?

The general solution for tan(θ)=(-4)/2 is θ=-1.10714…+pin

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tan(θ)=(-4)/2

tan (θ) = \frac{- 4}{2}

θ = - 1.10714 \dots + πn

Solution steps

tan (θ) = \frac{- 4}{2}

Simplify

\frac{- 4}{2} : - 2

\frac{- 4}{2}

Apply the fraction rule:

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

= - \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= - 2

Apply trig inverse properties

tan (θ) = - 2

General solutions for

tan (θ) = - 2

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

θ = arctan (- 2) + πn

θ = arctan (- 2) + πn

Show solutions in decimal form

θ = - 1.10714 \dots + πn

cos (x - \frac{π}{6}) = 0, 5

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

sin (a) = \frac{π}{4}

sin (x - \frac{π}{2}) = 0

tan (x) = \frac{12}{15}

What is the general solution for tan(θ)=(-4)/2 ?
The general solution for tan(θ)=(-4)/2 is θ=-1.10714…+pin