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Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $\csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2$
Learn how to solve trigonometric identities problems step by step online.
$\left(\csc\left(x\right)^2-1\right)\sec\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (csc(x)^2-1)sec(x)=cot(x)csc(x). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2. Rewrite \cot\left(x\right)^2\sec\left(x\right) in terms of \sin and \cos by applying trigonometric identities. Any expression to the power of 1 is equal to that same expression.