Final answer to the problem
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2$
Learn how to solve trigonometric identities problems step by step online.
$\frac{1+\tan\left(x\right)^2}{\csc\left(x\right)^2}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (1+tan(x)^2)/(csc(x)^2)=tan(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Simplify \frac{\sec\left(x\right)^2}{\csc\left(x\right)^2} using trig identities. Since we have reached the expression of our goal, we have proven the identity.