Will award brainliest! if θ is in quadrant iv and sinθ = -5/13, then secθ = a. -13/12 b. -12/13 c. 12/13 d. 13/12

If the angle theta is in Q IV, then the adj. side is + and the opp side is - .  The hyp is always + .

If sin theta = -5,13, then we know that the opp side is -5, and the hyp is +13.
The adj. side is found as follows:  sqrt(13^2 - (-5)^2 ), which here is sqrt(169 - 25), or plus or minus 12.  As before, in Q IV the adj side is +, so choose +12.

Then sec theta = hyp / adj = 13/12 (answer)

It’s either a or c as the answer.