If csc + 5/3 and tan ø = 3/4, find the values of the remaining trigonometric functions using a pythagorean identity. show your answer.

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

a

step-by-step explanation:

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