Since the given triangle is right-angled, the trigonometric identities can be calculated as follows:
sine theta = opposite / hypotenuse
cosine theta = adjacent / hypotenuse
tan theta = opposite / adjacent
Now, the given theta is P
opposite = 5, adjacent = 9 and hypotenuse = 14
Substitute with the givens in the above functions as follows:
sin P = 5 / 14
cos P = 9 / 14
tan P = 5 / 9
Comparing these results with the givens, we will find that the correct choice is the third one.