Question

If in quadrant II, what is ?

Answer 1

use a Pythagorean identity or draw a right triangle
you are going to have to use though that theta is in quadrant 2 either way (this is only to determine sign)

Answer 2

theta in quadrant 2

Answer 3

does this mean cosine is positive or negative ?

Answer 4

that is your second guess...
are you just guessing?

let's go through this slowly
can you tell me if you think cosine is negative or positive in quadrant 2 ?

Answer 5

i meant C

Answer 6

ok lol
yes cosine is negative since we are in quadrant 2
and 1+(-4/3)^2=sec^2(theta)
1+16/9=sec^2(theta)
9/9+16/9=sec^2(theta)
25/9=sec^2(theta)
5/3 or -5/3=sec(theta) depending where theta is

cos(theta)=-3/5 since we are quadrant 2
so yes