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