Simplify the given expression. The result will be one of $\displaystyle sin\; x, \;cos\; x,\; tan\; x,\; cot\; x,\; sec\; x,\; or\; csc\; x.$

$\displaystyle \frac{Tan\;x\;+\;Cot\;x}{Csc\;x}$

The answer to this one is $\displaystyle Sec\;x.$ I'm kinda confused on how they got it because I ended up with $\displaystyle Cos\;x$