What is the general solution for tan(θ)=-3,sin(θ)<0 ?

The general solution for tan(θ)=-3,sin(θ)<0 is No Solution for θ\in\mathbb{R}

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tan(θ)=-3,sin(θ)<0

tan (θ) = - 3, sin (θ) < 0

No Solution for θ \in R

Solution steps

tan (θ) = - 3, sin (θ) < 0

Apply trig inverse properties

tan (θ) = - 3

General solutions for

tan (θ) = - 3

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

θ = arctan (- 3) + πn

θ = arctan (- 3) + πn

Solutions for the range

sin (θ) < 0

No Solution for θ \in R

x, sec (x) + 2 = 0

cos (2 x) = 0.92

cos (4 x) + 1 = 3 sin (2 x), - \frac{π}{2} \leq x \leq \frac{π}{2}

3 - 6 cos (x + \frac{π}{3}) = 0

sin (7.07 t) = 0.5

What is the general solution for tan(θ)=-3,sin(θ)<0 ?
The general solution for tan(θ)=-3,sin(θ)<0 is No Solution for θ\in\mathbb{R}