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$\csc\left(x\right)+\cot\left(x\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity sin(x)/(1-cos(x))=csc(x)+cot(x). Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\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.