Precalculus Examples

$\frac{2 \cot (x)}{1 + \cot^{2} (x)} = \frac{2 \cot (x)}{\csc^{2} (x)}$

Step 1

Subtract $\frac{2 \cot (x)}{\csc^{2} (x)}$ from both sides of the equation.

$\frac{2 \cot (x)}{1 + \cot^{2} (x)} - \frac{2 \cot (x)}{\csc^{2} (x)} = 0$

Step 2

Simplify $\frac{2 \cot (x)}{1 + \cot^{2} (x)} - \frac{2 \cot (x)}{\csc^{2} (x)}$ .

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Step 2.1

Apply pythagorean identity.

$\frac{2 \cot (x)}{\csc^{2} (x)} - \frac{2 \cot (x)}{\csc^{2} (x)} = 0$

Step 2.2

Subtract $\frac{2 \cot (x)}{\csc^{2} (x)}$ from $\frac{2 \cot (x)}{\csc^{2} (x)}$ .

$0 = 0$