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Starting from the right-hand side (RHS) of the identity
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$\left(\csc\left(x\right)-\cot\left(x\right)\right)^2$
Learn how to solve differential calculus problems step by step online. Prove the trigonometric identity (1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2. 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.