Simplify sec(theta)tan(theta)cos(theta)

$\sec (θ) \cdot \tan (θ) \cdot \cos (θ)$

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

$\frac{1}{\cos (θ)} \cdot \tan (θ) \cdot \cos (θ)$

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

Add parentheses.

$\frac{1}{\cos (θ)} \cdot (\tan (θ) \cdot \cos (θ))$

Rewrite $\frac{1}{\cos (θ)} \cdot \tan (θ) \cdot \cos (θ)$ in terms of sines and cosines.

$\frac{1}{\cos (θ)} \cdot (\frac{\sin (θ)}{\cos (θ)} \cos (θ))$

Cancel the common factors.

$\frac{1}{\cos (θ)} \cdot \sin (θ)$

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

$\frac{\sin (θ)}{\cos (θ)}$

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

$\tan (θ)$

Simplify sec(theta)*tan(theta)*cos(theta)