Question

convert r=5csc theta to rectangular equation

Answer 1

Have you considered a slight transformation?

\(r = 5\csc(\theta) = \dfrac{5}{\sin(\theta)} \rightarrow r\cdot\sin(\theta) = 5\)

Answer 2

no i never thought about putting it that way

Answer 3

This is why you endlessly studied trig identities. It is time to prove it.