Trigonometry Examples

$\arcsin (\frac{\sqrt{36 - x^{2}}}{6})$

Step 1

Rewrite $36$ as $6^{2}$ .

$\arcsin (\frac{\sqrt{6^{2} - x^{2}}}{6})$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 6$ and $b = x$ .

$\arcsin (\frac{\sqrt{(6 + x) (6 - x)}}{6})$