Final Answer
Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Applying the trigonometric identity: $\sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2$
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$2\sin\left(x\right)^2+1$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 3-2cos(x)^2=2sin(x)^2+1. Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Multiply the single term 2 by each term of the polynomial \left(1-\cos\left(x\right)^2\right). Add the values 2 and 1.