Trigonometry Examples

$\sqrt{a b} = \sqrt{a} \sqrt{b}$

Step 1

Combine using the product rule for radicals.

$\sqrt{a b} = \sqrt{a b}$

Step 2

Since the two sides have been shown to be equivalent, the equation is an identity.

$\sqrt{a b} = \sqrt{a} \sqrt{b}$ is an identity.