What is the general solution for tan(a)=(-4)/3 ?

The general solution for tan(a)=(-4)/3 is a=-0.92729…+pin

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tan(a)=(-4)/3

tan (a) = \frac{- 4}{3}

a = - 0.92729 \dots + πn

Degrees

a = - 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (a) = \frac{- 4}{3}

Apply the fraction rule:

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

tan (a) = - \frac{4}{3}

Apply trig inverse properties

tan (a) = - \frac{4}{3}

General solutions for

tan (a) = - \frac{4}{3}

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

a = arctan (- \frac{4}{3}) + πn

a = arctan (- \frac{4}{3}) + πn

Show solutions in decimal form

a = - 0.92729 \dots + πn

cot (x) - 2 tan (x) = - 0.25

cos (\frac{x}{2}) = \frac{1}{4}

x, y = 2 arcsin (x - 1)

x, - 2 sin (x) - 1 = 0

sin (t) = \frac{1}{8}

What is the general solution for tan(a)=(-4)/3 ?
The general solution for tan(a)=(-4)/3 is a=-0.92729…+pin