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Starting from the left-hand side (LHS) of the identity
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$2\cos\left(x\right)^2-1$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 2cos(x)^2-1=1-2sin(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Solve the product 2\left(1-\sin\left(x\right)^2\right). Any expression multiplied by 1 is equal to itself.