Finite Math Examples

$\sec (t) \sin (t) + \cos (t)$

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

Combine $\frac{1}{\cos (t)}$ and $\sin (t)$ .

$\frac{\sin (t)}{\cos (t)} + \cos (t)$

Step 2

Convert from $\frac{\sin (t)}{\cos (t)}$ to $\tan (t)$ .

$\tan (t) + \cos (t)$

Step 3

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

$\frac{\sin (t)}{\cos (t)} + \cos (t)$

Step 4

Convert from $\frac{\sin (t)}{\cos (t)}$ to $\tan (t)$ .

$\tan (t) + \cos (t)$