Trigonometry Examples

$\cot^{2} (t) - \csc^{2} (t)$

Step 1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = \cot (t)$ and $b = \csc (t)$ .

$(\cot (t) + \csc (t)) (\cot (t) - \csc (t))$