Calculus Examples

$\sqrt{9 - 9 \sin^{2} (x)}$

Step 1

Simplify with factoring out.

Tap for more steps...

Step 1.1

Factor $9$ out of $9$ .

$\sqrt{9 (1) - 9 \sin^{2} (x)}$

Step 1.2

Factor $9$ out of $- 9 \sin^{2} (x)$ .

$\sqrt{9 (1) + 9 (- \sin^{2} (x))}$

Step 1.3

Factor $9$ out of $9 (1) + 9 (- \sin^{2} (x))$ .

$\sqrt{9 (1 - \sin^{2} (x))}$

Step 2

Apply pythagorean identity.

$\sqrt{9 \cos^{2} (x)}$

Step 3

Rewrite $9 \cos^{2} (x)$ as ${(3 \cos (x))}^{2}$ .

$\sqrt{{(3 \cos (x))}^{2}}$

Step 4

Pull terms out from under the radical, assuming positive real numbers.

$3 \cos (x)$