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