Answer:
Option a. √35/6
Explanation:
Given sin θ = -1/6 and tan θ = -√35/35
We should know that :
tan θ = (sin θ)/(cos θ)
∴ Cos θ = (sin θ)/(tan θ)
∴ Cos θ = (-1/6)/(-√35/35) = (-1/6) * (-35/√35)
= 35/(6√35) = (√35 * √35)/(6√35) = √35/6
The answer is option a. √35/6