Choose all which are correct. if tan theta = 3/4 and the terminal point determined by theta is in quadrant 3, then cos theta = -4/5 csc theta = -5/3 cot theta = 4/3 sin theta = 3/5

Since the terminus of lies in quadrant 3, we should have and . This eliminates the fourth option.

Recall that

but we know that , which means , so we take the negative root above. Then

so the first option is correct.

We also know that

and again we take the negative root here and find that

so the second option is also correct.

Finally, we have

so the third option is also correct.

i think the correct option is the second option.