I’m having a lot of trouble with simplifying expressions with basic trigonometric identities

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]