Given sin(-θ)=-1/6 and tanθ=-√35/35
what is the value of cosθ?

a. √35/6
b. √35/210
c. -√35/210
d. -√35/6

Option a. √35/6

Step-by-step 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

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Step-by-step explanation:

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