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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 (1-cos(x)^2)csc(x)^2=1. section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}.