Find the values of the trigonometric functions of θ from the information given. sec θ = 6, sin θ < 0

Question

I am not very sure how to go about this or start to answer it.

Answer 1

sec(θ)=6   -->   1/cos(θ)=6   -->  cos(θ)=1/6

use: sin²(θ)+ cos²(θ)=1   -->  sin²(θ)=1-(1/36)=35/36

so sin(θ)=±(√35)/6   

If sin(θ)<0  it's the negative root.