Answer:
cotθ = √35 = 5.91
Step-by-step explanation:
Explanation:-
Given sin(θ) = -1/6
[tex]cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6[/tex]
We will use trigonometric formula
co sec ²θ -cot²θ =1
cot ² θ = co sec ²θ - 1
cot ² θ = (-6)² -1 = 36 -1 =35
cotθ = √35 = 5.91
Given' θ' is Quadrant III.
In third quadrant cotθ and tanθ are positive
cotθ = √35 = 5.91
