What are the asymptote(s) and hole(s), if any, of $f(x) = 1/cotx$ ?

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Answer 1 · 2017-08-29T22:01:46

This can be rewritten as

$f(x)= tanx$

Which in turn can be written as

$f(x) = sinx/cosx$

This will be undefined when $cosx = 0$ , aka $x = pi/2 + pin$ .

Hopefully this helps!

What are the asymptote(s) and hole(s), if any, of f(x) = 1/cotx f(x) = 1/cotx?