Respuesta :

Given the following trigonometric expression:

[tex]cos(\alpha)tan(\alpha)sec(\alpha)cot(\alpha)[/tex]

We will simplify the expression as follows:

First, we should know that: cot = 1/tan, and sec = 1/cos

So, the expression will be s follows:

[tex]cos(\alpha)*tan(\alpha)*\frac{1}{cos(\alpha)}*\frac{1}{tan(\alpha)}[/tex]

Cross the similar terms.

So, the answer will be:

[tex]1[/tex]