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Prove the trigonometric identity $\frac{2\tan\left(x\right)}{\sin\left(2x\right)}=\sec\left(x\right)^2$

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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.

$\frac{2\tan\left(x\right)}{\sin\left(2x\right)}$

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (2tan(x))/sin(2x)=sec(x)^2. Starting from the left-hand side (LHS) of the identity. Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Simplify the fraction \frac{2\tan\left(x\right)}{2\sin\left(x\right)\cos\left(x\right)} by 2. Simplify \frac{\tan\left(x\right)}{\sin\left(x\right)\cos\left(x\right)}.

Final answer to the problem

true

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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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