What is the general solution for cot(θ)=4,cos(θ)<0 ?

The general solution for cot(θ)=4,cos(θ)<0 is No Solution for θ\in\mathbb{R}

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cot(θ)=4,cos(θ)<0

cot (θ) = 4, cos (θ) < 0

No Solution for θ \in R

Solution steps

cot (θ) = 4, cos (θ) < 0

Apply trig inverse properties

cot (θ) = 4

General solutions for

cot (θ) = 4

cot (x) = a \Rightarrow x = arccot (a) + πn

θ = arccot (4) + πn

θ = arccot (4) + πn

Solutions for the range

cos (θ) < 0

No Solution for θ \in R

What is the general solution for cot(θ)=4,cos(θ)<0 ?
The general solution for cot(θ)=4,cos(θ)<0 is No Solution for θ\in\mathbb{R}