Precalculus Examples

$\cos (- t) \sec (t)$

Step 1

Since $\cos (- t)$ is an even function, rewrite $\cos (- t)$ as $\cos (t)$ .

$\cos (t) \sec (t)$

Step 2

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

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Step 2.1

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

$\sec (t) \cos (t)$

Step 2.2

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

$\frac{1}{\cos (t)} \cos (t)$

Step 2.3

Cancel the common factors.

$1$