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Step-by-step Solution
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I. Express the LHS in terms of sine and cosine and simplify
Start from the LHS (left-hand side)
Learn how to solve trigonometric identities problems step by step online.
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (csc(a)-cot(a))(csc(a)+cot(a))=1. section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Applying the trigonometric identity: \cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1.