Final answer to the problem
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Multiply the single term $\csc\left(x\right)$ by each term of the polynomial $\left(\csc\left(x\right)-\sin\left(x\right)\right)$
Learn how to solve trigonometric identities problems step by step online.
$\csc\left(x\right)\left(\csc\left(x\right)-\sin\left(x\right)\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)(csc(x)-sin(x))=cot(x)^2. Starting from the left-hand side (LHS) of the identity. Multiply the single term \csc\left(x\right) by each term of the polynomial \left(\csc\left(x\right)-\sin\left(x\right)\right). When multiplying two powers that have the same base (\csc\left(x\right)), you can add the exponents. Applying the trigonometric identity: \csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2.