Prove the trigonometric identity $\cos\left(a\right)\cot\left(a\right)+\sin\left(a\right)=\csc\left(a\right)$

Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity cos(a)cot(a)+sin(a)=csc(a). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Multiplying the fraction by \cos\left(a\right). Simplify \frac{\cos\left(a\right)^2}{\sin\left(a\right)}+\sin\left(a\right) by applying trigonometric identities.