Trigonometry Examples

$\sqrt{\sin^{2} (x) + \cos^{2} (x)} = 1$

Step 1

Start on the left side.

$\sqrt{\sin^{2} (x) + \cos^{2} (x)}$

Step 2

Apply pythagorean identity.

$\sqrt{1}$

Step 3

Any root of $1$ is $1$ .

$1$

Step 4

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

$\sqrt{\sin^{2} (x) + \cos^{2} (x)} = 1$ is an identity