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

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

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

Reorder $\cos (θ)$ and $\tan (θ)$ .

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

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

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

Cancel the common factors.

$\sin (θ) \cdot \sec (θ)$

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

$\sin (θ) \cdot \frac{1}{\cos (θ)}$

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

$\frac{\sin (θ)}{\cos (θ)}$

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

$\tan (θ)$

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