Calculus Examples

$\cos (x) \sec (x) - \cos^{2} (x)$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

Tap for more steps...

Step 1.1

Reorder $\cos (x)$ and $\sec (x)$ .

$\sec (x) \cos (x) - \cos^{2} (x)$

Step 1.2

Rewrite $\cos (x) \sec (x)$ in terms of sines and cosines.

$\frac{1}{\cos (x)} \cos (x) - \cos^{2} (x)$

Step 1.3

Cancel the common factors.

$1 - \cos^{2} (x)$

Step 2

Apply pythagorean identity.

$\sin^{2} (x)$