find cos theta if csc theta = 5/3
\(csc=\frac{hyp.}{oposite}=\frac{5}{3} \\ cos=\frac{adj.}{hyp.} \)
so we know hyp=5 and oposite=3 let s use pythagorean theorem to find adj :
3^2+x^2=5^2
x=4
so your adj is 4 and hyp is 5
\(cos=\frac{adj.}{hyp.}=\frac45\)