** Final answer to the problem

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

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

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

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

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