Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (sin(b)^2)/cos(b)+cos(b)=sec(b). Starting from the left-hand side (LHS) of the identity. Combine all terms into a single fraction with \cos\left(b\right) as common denominator. When multiplying two powers that have the same base (\cos\left(b\right)), you can add the exponents. Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1.

Prove the trigonometric identity (sin(b)^2)/cos(b)+cos(b)=sec(b)