Prove the trigonometric identity $\frac{\sin\left(x\right)}{1+\cos\left(x\right)}+\frac{1+\cos\left(x\right)}{\sin\left(x\right)}=2\csc\left(x\right)$

Learn how to solve product rule of differentiation problems step by step online.

$\frac{\sin\left(x\right)}{1+\cos\left(x\right)}+\frac{1+\cos\left(x\right)}{\sin\left(x\right)}$

Learn how to solve product rule of differentiation problems step by step online. Prove the trigonometric identity sin(x)/(1+cos(x))+(1+cos(x))/sin(x)=2csc(x). Starting from the left-hand side (LHS) of the identity. 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. Simplify the numerators.