what is the vertical asymptote of csc x - cot x when 0<x<π

Question

How do I find the vertical asymptote of csc x - cot x when 0<x<π

Answer 1

Use the identity csc(x) = 1/sin(x) and cot(x) = cos(x)/sin(x) to convert both csc(x) and cot(x) into fractions then add the fractions together. When the denominator equals zero, there will be a vertical asymptote.