What is the general solution for tan(θ)=(-4)/5 ?

The general solution for tan(θ)=(-4)/5 is θ=-0.67474…+pin

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Find the Degree tan(theta)=-4/5

tan (θ) = \frac{- 4}{5}

θ = - 0.67474 \dots + πn

Degrees

θ = - 38.65980 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{- 4}{5}

Apply the fraction rule:

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

tan (θ) = - \frac{4}{5}

Apply trig inverse properties

tan (θ) = - \frac{4}{5}

General solutions for

tan (θ) = - \frac{4}{5}

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

θ = arctan (- \frac{4}{5}) + πn

θ = arctan (- \frac{4}{5}) + πn

Show solutions in decimal form

θ = - 0.67474 \dots + πn

sec (\frac{( 5 π )}{3})

sin (x) = \frac{18.5}{20}

sec (\frac{( 2 π )}{3})

sin (\frac{135}{2})

cos (\frac{( 5 π )}{6})

What is the general solution for tan(θ)=(-4)/5 ?
The general solution for tan(θ)=(-4)/5 is θ=-0.67474…+pin