Given sin(-0)=-1/6 and tan0=-√35/35
what is the value of cos0?

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

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.