Help me with finding cosin, sin, etc. when have tan

Tan theta is -5/12, when cos theta > 0


I'm having trouble with this one and the informational guide isn't helping because it skips steps. Can someone help me and show me how to find cos theta, sin theta, csc theta, sec theta, and cot theta?

Tan^2 +1=sec^2
(-5/12)^2 +1= sec^2
169/144= sec ^2
Sqrt(169/144)=sec
Sec=13/12
Sec=1/cos
Then cos= 12/13
Tan= sin/cos
-5/12= sin/(12/13)
Sin=-5/13

Use the unit circle ...cos has to be + and sin tan is sin/cos ....it shows sin must be -

That would put us in the 2nd quadrant

So create a triangle using the lines of the unit circle with tan(theta) as the angle on the bottom of the triangle.

Tan is opp/adj so from that plot tan

Then find the other side...from that its just picking the sides for each function