Learn how to solve polynomial factorization problems step by step online. Prove the trigonometric identity (sin(x)-cos(x))/sin(x)=1+-1/tan(x). Starting from the left-hand side (LHS) of the identity. Expand the fraction \frac{\sin\left(x\right)-\cos\left(x\right)}{\sin\left(x\right)} into 2 simpler fractions with common denominator \sin\left(x\right). Simplify the resulting fractions. Apply the trigonometric identity: \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}=\cot\left(\theta \right).

Prove the trigonometric identity (sin(x)-cos(x))/sin(x)=1+-1/tan(x)