First, decide which values represent opposite (o), adjacent (a), and hypotenuse (h) when given csc and tan:
csc = 5/3 = hypotenuse/opposite: h=5, o = 3, and a = ???
tan = 3/4 = opposite/adjacent: h = ???, o = 3, and a = 4
Combined, we get: h=5, o = 3, and a = 4
Next, plug in the values of o, a, and h:
sin = o/h → 3/5 csc = h/o → 5/3
cos = a/h → 4/5 sec = h/a → 5/4
tan = o/a → 3/4 cot = a/o → 4/3
