Trigonometry Examples

$\sin^{2} (x + 1) - \sin^{2} (x - 1)$

Step 1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = \sin (x + 1)$ and $b = \sin (x - 1)$ .

$(\sin (x + 1) + \sin (x - 1)) (\sin (x + 1) - \sin (x - 1))$