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Prove the trigonometric identity $\sec\left(x\right)^2\cot\left(x\right)-\cot\left(x\right)=\tan\left(x\right)$

Step-by-step 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

$\sec\left(x\right)^2\cot\left(x\right)-\cot\left(x\right)$

Learn how to solve sum rule of differentiation problems step by step online.

$\sec\left(x\right)^2\cot\left(x\right)-\cot\left(x\right)$

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Learn how to solve sum rule of differentiation problems step by step online. Prove the trigonometric identity sec(x)^2cot(x)-cot(x)=tan(x). Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sec\left(x\right)^2\cot\left(x\right)-\cot\left(x\right) by it's greatest common factor (GCF): \cot\left(x\right). Apply the trigonometric identity: \sec\left(\theta \right)^2-1=\tan\left(\theta \right)^2. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}.

Final answer to the problem

true

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Function Plot

Plotting: $true$

Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

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