Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the trigonometric expression (cos(a)^2+cot(a))/(cos(a)^2-cot(a)). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Combine all terms into a single fraction with \sin\left(a\right) as common denominator. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Combine \cos\left(a\right)^2+\frac{-\cos\left(a\right)}{\sin\left(a\right)} in a single fraction.

Simplify the trigonometric expression (cos(a)^2+cot(a))/(cos(a)^2-cot(a))