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Prove the trigonometric identity $\cos\left(2a\right)=2\cos\left(a\right)^2-1$

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Solution

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Step-by-step Solution

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity cos(2a)=2cos(a)^2-1. Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: 2\cos\left(\theta \right)^2-1 = \cos\left(2\theta \right). Since we have reached the expression of our goal, we have proven the identity.

Final answer to the problem

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Main Topic: Proving Trigonometric Identities

To prove a trigonometric identity, you have to show that one side of the equation can be transformed into the other side.

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