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

Prove the trigonometric identity (tan(a)^2+1)/(tan(a)^2)=csc(a)^2