Exercise
$\tan\left(x\right)^2-\cot\left(x\right)^2=\sec\left(x\right)^2\left(1-\cot\left(x\right)^2\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Prove the trigonometric identity tan(x)^2-cot(x)^2=sec(x)^2(1-cot(x)^2). Starting from the right-hand side (RHS) of the identity. Multiply the single term \sec\left(x\right)^2 by each term of the polynomial \left(1-\cot\left(x\right)^2\right). Simplifying. Applying the trigonometric identity: \csc\left(\theta \right)^2 = 1+\cot\left(\theta \right)^2.
Prove the trigonometric identity tan(x)^2-cot(x)^2=sec(x)^2(1-cot(x)^2)
Final answer to the exercise
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