What is a simpler form of (sin(theta)sec(theta))/((cos(theta)tan(theta))?

What is a simpler form of (sin(theta)sec(theta))/((cos(theta)tan(theta))?

 

\(\frac{sin(\theta)sec(\theta)}{cos(\theta)tan(\theta)}\\ =\frac{sin(\theta)}{cos(\theta)tan(\theta)cos(\theta)}\\ =\frac{sin(\theta)}{cos(\theta)\frac{sin(\theta)}{cos(\theta)}cos(\theta)}\\ =\frac{sin(\theta)}{cos(\theta)\frac{sin(\theta)}{1}}\\ =\frac{sin(\theta)}{cos(\theta)sin(\theta)}\\ =\frac{1}{cos(\theta)}\\ =sec(\theta)\\~\\ \)

\(\mbox{better solution}\\~\\ \frac{sin(\theta)sec(\theta)}{cos(\theta)tan(\theta)}\\ =\frac{tan(\theta)sec(\theta)}{tan(\theta)}\\ =\frac{sec(\theta)}{1}\\ =sec(\theta)\)