Question

given sin sigma = -4/5 and tan sigma>0 , what are the remaining functions of trig values?

Answer 1

MUSTARD

Answer 2

The negative sign indicates the angle will be in quadrant 3 or 4.
The positive tan indicates the angle must be in 3; since cos must also be negative.
cos =\[ \sqrt{1-\sin ^{2}\sigma}\] = -3/5
The rest you can calculate from there.