Trigonometry Examples

$\sin^{2} (t) + (\cos^{2} (t) - \tan^{2} (t)) = 1 - \tan^{2} (t)$

Step 1

Start on the left side.

$\sin^{2} (t) + (\cos^{2} (t) - \tan^{2} (t))$

Step 2

Apply Pythagorean identity.

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Step 2.1

Move $\cos^{2} (t)$ .

$\sin^{2} (t) + \cos^{2} (t) - \tan^{2} (t)$

Step 2.2

Apply pythagorean identity.

$1 - \tan^{2} (t)$

Step 3

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

$\sin^{2} (t) + \cos^{2} (t) - \tan^{2} (t) = 1 - \tan^{2} (t)$ is an identity