Question

A -5/4 B -8/10 C 3/4 D -5/3

Answer 1

Well let's remember csc = hypotenuse/opposite

Let's use the distance formula to find the length of the hypotenuse.
√(0−−8)^2+(−6−0)^2
√(0+8)^2+(−6+0)^2
√(8)^2+(−6)^2
√64+36
√100
H = 10

so csc = 10/opposite

Now to find the opposite length using distance formula
√(0−−8)^2+(0−0)^2
√(0+8)^2+(0+0)^2
√(8)^2+(0)^2
√64+0
√64
O = 8

So csc = 10/8 or 1.25