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

The general solution for tan(x)=(-3)/4 is x=-0.64350…+pin

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tan(x)=(-3)/4

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

x = - 0.64350 \dots + πn

Degrees

x = - 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

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

Apply the fraction rule:

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

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

Apply trig inverse properties

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

General solutions for

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

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

x = arctan (- \frac{3}{4}) + πn

x = arctan (- \frac{3}{4}) + πn

Show solutions in decimal form

x = - 0.64350 \dots + πn

sin (x) = - 2 sin^{2} (x)

3 cos (θ) = sin (θ)

csc (θ) = \frac{4}{3}

9^{s i n (x) - 1} + 3 = 3^{s i n (x)} + 3^{s i n (x) - 1}

3 + 3 sin (θ) = 9 sin (θ)

What is the general solution for tan(x)=(-3)/4 ?
The general solution for tan(x)=(-3)/4 is x=-0.64350…+pin