What is the general solution for tan(θ)=(-3)/2 ?

The general solution for tan(θ)=(-3)/2 is θ=-0.98279…+pin

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tan(θ)=(-3)/2

tan (θ) = \frac{- 3}{2}

θ = - 0.98279 \dots + πn

Degrees

θ = - 56.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{- 3}{2}

Apply the fraction rule:

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

tan (θ) = - \frac{3}{2}

Apply trig inverse properties

tan (θ) = - \frac{3}{2}

General solutions for

tan (θ) = - \frac{3}{2}

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

θ = arctan (- \frac{3}{2}) + πn

θ = arctan (- \frac{3}{2}) + πn

Show solutions in decimal form

θ = - 0.98279 \dots + πn

7 sin (x + 5) = 1

2 sin (x) tan (2 x) - 3 tan (2 x) = 0

tan (x) = \frac{12}{8}

cos (2 t) - cos (t) = - 0.5, 0 \leq t \leq 2 π

3 ∣ sin (5 θ) ∣ = 0

What is the general solution for tan(θ)=(-3)/2 ?
The general solution for tan(θ)=(-3)/2 is θ=-0.98279…+pin