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Starting from the right-hand side (RHS) of the identity
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$\csc\left(x\right)^2-\csc\left(x\right)\cot\left(x\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity 1/(1+cos(x))=csc(x)^2-csc(x)cot(x). Starting from the right-hand side (RHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. 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)}.