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

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

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tan(θ)=(-3)/4

tan (θ) = \frac{- 3}{4}

θ = - 0.64350 \dots + πn

Solution steps

tan (θ) = \frac{- 3}{4}

Apply the fraction rule:

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

tan (θ) = - \frac{3}{4}

Apply trig inverse properties

θ = arctan (- \frac{3}{4}) + πn

Show solutions in decimal form

θ = - 0.64350 \dots + πn

sin (2 x) cos (x) = cos (2 x) sin (x)

sin (x) = \frac{7}{12}

sin (x) = \frac{7}{13}

3 sin (x) - sin (x) - 3 = 0

cos (x) + 2 cos (x + 24 0^{\circ}) = 1

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