Question

GIVING MEDAL
Find csc theta if the terminal side of theta passes through the point (-4,3).

Answer 1

right?

Answer 2

Yes @SolomonZelman

Answer 3

so you can tell already that

Answer 4

now you need to find the hypotenuse, using
\[a^2+b^2=c^2\] plug in your numbers,\[3^3+4^2=c^2\]\[25=c^2\]\[c=5\]

Answer 5

so, you know that the opposite side is 3 and the hypotenuse is 5.

Sin = opp / hyp
and csc is the inverse of sin, so

Csc = hyp / opp --> in your case, it's 5/3.