Prove the trigonometric identity $\cot\left(a\right)+\frac{\sin\left(a\right)}{1+\cos\left(a\right)}=\csc\left(a\right)$

Learn how to solve problems step by step online. Prove the trigonometric identity cot(a)+sin(a)/(1+cos(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)}. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete.