Learn how to solve trigonometric equations problems step by step online. Prove the trigonometric identity csc(u)-cot(u)=sin(u)/(1+cos(u)). Starting from the left-hand side (LHS) 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)}. Combine fractions with common denominator \sin\left(u\right).

Prove the trigonometric identity csc(u)-cot(u)=sin(u)/(1+cos(u))