Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Learn how to solve problems step by step online.
$\left(1+\cos\left(x\right)\right)\left(\csc\left(x\right)-\cot\left(x\right)\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity (1+cos(x))(csc(x)-cot(x))=sin(x). Starting from the left-hand side (LHS) of the identity. Multiply the single term \csc\left(x\right)-\cot\left(x\right) by each term of the polynomial \left(1+\cos\left(x\right)\right). Multiply the single term \cos\left(x\right) by each term of the polynomial \left(\csc\left(x\right)-\cot\left(x\right)\right). Simplifying.