What is the general solution for tan(θ)=(-4/3-(-11/3))/(1+(-4/3)(-11/3)) ?

The general solution for tan(θ)=(-4/3-(-11/3))/(1+(-4/3)(-11/3)) is θ=0.37724…+pin

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tan(θ)=(-4/3-(-11/3))/(1+(-4/3)(-11/3))

tan (θ) = \frac{- \frac{4}{3} - ( - \frac{11}{3} )}{1 + ( - \frac{4}{3} ) ( - \frac{11}{3} )}

θ = 0.37724 \dots + πn

Solution steps

tan (θ) = \frac{- \frac{4}{3} - ( - \frac{11}{3} )}{1 + ( - \frac{4}{3} ) ( - \frac{11}{3} )}

Simplify

\frac{- \frac{4}{3} - ( - \frac{11}{3} )}{1 + ( - \frac{4}{3} ) ( - \frac{11}{3} )} : \frac{21}{53}

Apply trig inverse properties

θ = arctan (\frac{21}{53}) + πn

Show solutions in decimal form

θ = 0.37724 \dots + πn

8 + 2 cot (x) = 12

(1 + cot (p)) tan (p) = 3

csc (θ + π) = - \frac{2 3}{3}

sin (x) = \frac{33}{105}

csc (x) = 10

What is the general solution for tan(θ)=(-4/3-(-11/3))/(1+(-4/3)(-11/3)) ?
The general solution for tan(θ)=(-4/3-(-11/3))/(1+(-4/3)(-11/3)) is θ=0.37724…+pin