Answer
Positive: $tan\theta, cot\theta$,
Negative: $sin\theta, cos\theta, sec\theta, csc\theta$.
Work Step by Step
Given $\theta$ in quadrant III, we have $x\lt0, y\lt0$, based on the definition of trig functions in an unit circle, we have:
Positive: $tan\theta, cot\theta$,
Negative: $sin\theta, cos\theta, sec\theta, csc\theta$.
