** 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

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Applying the trigonometric identity: $\cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}$

**Why does cot(x) = cos(x)/sin(x) ?

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Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$

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Multiplying fractions $\frac{\cos\left(x\right)}{\sin\left(x\right)} \times \frac{1}{\cos\left(x\right)}$

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Simplify the fraction $\frac{\cos\left(x\right)}{\sin\left(x\right)\cos\left(x\right)}$ by $\cos\left(x\right)$

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The reciprocal sine function is cosecant: $\frac{1}{\sin(x)}=\csc(x)$

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Since we have reached the expression of our goal, we have proven the identity

** Final answer to the problem

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