Learn how to solve limits by direct substitution problems step by step online. Prove the trigonometric identity (sin(x)+1)(tan(x)-sec(x))=-cos(x). Starting from the left-hand side (LHS) of the identity. Multiply the single term \tan\left(x\right)-\sec\left(x\right) by each term of the polynomial \left(\sin\left(x\right)+1\right). Multiply the single term \sin\left(x\right) by each term of the polynomial \left(\tan\left(x\right)-\sec\left(x\right)\right). Applying the trigonometric identity: \sin\left(\theta \right)\sec\left(\theta \right) = \tan\left(\theta \right).

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