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: $\cot\left(\theta \right) = \frac{1}{\tan\left(\theta \right)}$
Learn how to solve trigonometric identities problems step by step online.
$\tan\left(x\right)^2+\tan\left(x\right)\cot\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity tan(x)^2+tan(x)cot(x)=sec(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{1}{\tan\left(\theta \right)}. Multiplying the fraction by \tan\left(x\right). Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2.