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

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Solution

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Final answer to the problem

true

Step-by-step Solution

How should I solve this problem?

  • Prove from LHS (left-hand side)
  • Prove from RHS (right-hand side)
  • Express everything into Sine and Cosine
  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equation
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Load more...
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1

Starting from the left-hand side (LHS) of the identity

Learn how to solve proving trigonometric identities problems step by step online.

$\cos\left(a\right)^2-\sin\left(a\right)^2$

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

Final answer to the problem

true

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Similar Problems Solved

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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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