Question

If cos theta = -5/13 and sin theta less than 0, what is tan theta?

Answer 1

Is this what you're asking?\[\text{If }\cos\theta=-\frac{5}{13}\text{ and }\sin\theta\lt0\text{, what is }\tan\theta?\]

Answer 2

yessss

Answer 3

Okay.
First question you ask yourself: which quadrant has negative sines?

Answer 4

(aka negative "y-values")

Answer 5

okay um 1 and 3 i think

Answer 6

Q1 is wrong, but you got Q3.

Here's a reference image: http://www.chilimath.com/algebra/intro/point/images/quadrants_1.gif

Answer 7

i couldnt think without looking so 3 and 4

Answer 8

But good work nonetheless. =)
So now you have narrowed down your options to Q3 and Q4.

Answer 9

(sorry I need to find some scratch paper)

Answer 10

hint angle theta has to belongs to the III quadrant:

Answer 11

belong*

Answer 12

Okay yeah what she said.
So now we have a triangle in QIII