Prove the trigonometric identity $\sin\left(f\right)=\csc\left(f\right)-\cos\left(f\right)\cot\left(f\right)$

Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sin(f)=csc(f)-cos(f)cot(f). 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)}. Multiplying the fraction by \cos\left(f\right). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}.