Learn how to solve problems step by step online. Find the limit of cot(t)-csc(t) as t approaches 0. The limit of a sum of two or more functions is equal to the sum of the limits of each function: \displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x)). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Evaluate the limit \lim_{t\to0}\left(\frac{\cos\left(t\right)}{\sin\left(t\right)}\right) by replacing all occurrences of t by 0. The sine of 0 equals 0.

Find the limit of cot(t)-csc(t) as t approaches 0