Question

A trigonometric ratio is 7/5. What ratio could it be, and what angle might it be referring to? How do I even start off and do this?

Answer 1

Well, we know that \(\sin(x)\) and \(\cos(x)\) are in \([-1,1]\) for any \(x\).
(In other words, \(-1\le \sin(x)\le 1 \) and \(-1\le \cos (x)\le 1 \), for all \(x\).)

Answer 2

There can be multiple answers ....

We know that it is possible that \(\sec(x)<-1 \), \(\csc(x)<-1 \), and \(\tan(x)<-1 \).

Answer 3

Or, it's also possible that \(\cot(x)<-1 \).

Answer 4

So it really could be any of these 4 ...

Answer 5

Alright, thanks, I'll see what it is..