Find other trigs if sinx=-1/2 and tanx>0

If we look at our circle, we find out that we are in III quadrant.

sin^2x+cos^2x=1 (-1/2)^2+cos^2x=1 cosx= - sqrt of 3/2

tanx=sinx/cosx -1/2/-sqrt of3/2=1/sqrt of 3

cotx=cosx/sinx= sqrt of 3.

cscx=1/sinx=-2

secx=1/cosx=-2/sqrt of 3.