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

Prove the trigonometric identity (sin(y)^2)/cos(y)=sec(y)-cos(y)