Final answer to the problem
Step-by-step Solution
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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.
$\frac{\tan\left(x\right)^2+1}{\tan\left(x\right)^2}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (tan(x)^2+1)/(tan(x)^2)=csc(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. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2.