**Since cos x = - 3/5 , we have sec x = - 5/3
**

Now sin^{2} x + cos^{2} x = 1, i.e., sin^{2} x = 1 – cos^{2} x

or sin^{2} x = 1 – 9/25 = 16/25

Hence sin x = ± 4/5

Since x lies in third quadrant, sin x is negative. Therefore

sin x = – 4/5

which also gives

cosec x = – 5/4

**Further, we have
**

tan x = sinx/cosx = 4/3 and cot x = cosx/sinx = 3/4 .