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Prove the trigonometric identity $3\cos\left(x\right)^2-\sin\left(x\right)^2=4\cos\left(x\right)^2-1$

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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.

$3\cos\left(x\right)^2-\sin\left(x\right)^2$

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity 3cos(x)^2-sin(x)^2=4cos(x)^2-1. Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Simplify the product -(1-\cos\left(x\right)^2). Multiply -1 times -1.

Final answer to the problem

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Similar Problems Solved

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Prove the identity

$\sec x-\sin x\tan x=\cos x$

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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