Question

what quadrant is csc x < 0 and tan x < 0

Answer 1

Well, do you know what csc x and tanx are in terms of sines andcosines?

Answer 2

There's none given.

Answer 3

Well, it's just an identity I mean. Like:
\[\csc(x) = \frac{ 1 }{ \sin(x) }\]

Answer 4

That's what I meant.

Answer 5

so, what quadrants do csc x < 0 and tan x < 0 lie?

Answer 6

Well, I'm trying to just give an explanation so you can see for yourself. Just trying to give the logic behind how you figure it out. Unless you don't care about the explanation.

Answer 7

Is x in degrees or radians?

Answer 8

Thank you :)

Answer 9

csc x < 0
sin x < 0 -> x is in the 3rd and 4th quadrant.
tan x < 0 -> x is in the 2nd and 4th quadrant.
Answer: 4th quadrant