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Prove the trigonometric identity $\frac{\cos\left(\theta\right)\sec\left(\theta\right)}{\cot\left(\theta\right)}=\tan\left(\theta\right)$

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

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

$\frac{\cos\left(\theta\right)\sec\left(\theta\right)}{\cot\left(\theta\right)}$

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (cos(t)sec(t))/cot(t)=tan(t). Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(\theta\right). Simplify the fraction \frac{\cos\left(\theta\right)}{\cos\left(\theta\right)} by \cos\left(\theta\right).

Final answer to the problem

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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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