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Prove the trigonometric identity $\sin\left(a\right)\cos\left(a\right)\left(\tan\left(a\right)+\cot\left(a\right)\right)=1$

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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.

$\sin\left(a\right)\cos\left(a\right)\left(\tan\left(a\right)+\cot\left(a\right)\right)$

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sin(a)cos(a)(tan(a)+cot(a))=1. Starting from the left-hand side (LHS) of the identity. Simplify \sin\left(a\right)\cos\left(a\right)\left(\tan\left(a\right)+\cot\left(a\right)\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). Rewrite \tan\left(a\right)+\cot\left(a\right) in terms of sine an cosine. Multiplying fractions \frac{\sin\left(2a\right)}{2} \times \frac{1}{\sin\left(a\right)\cos\left(a\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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