Question

If cscx=3 and tanx<0, find sinx, cosx, and tanx

Answer 1

This is what I have so far:
cscx=1/sinx
3=1/sinx
3=1/(1/3)
sinx=1/3

I can't figure out how to get the cosx but I think once I get cosx, that tanx will be easy since it's just sinx/cosx

Answer 2

You can always use the fact that \(\large sin^2(x) + cos^2(x) = 1\)

Answer 3

use the hint
given sin is positive and tan x is less than 0
sign chart (CAST sign chart)