I am having trouble solving a trigonometry identity problem. Specifically, I need to solve:
$\dfrac{\sec(x)\sin(x)}{\tan(x)\cot(x)} = \sin^2x$
I tried solving this by turning $\sin^2x$ into it's half-angle equivalent, starting from the original trigonometric identity to get to my answer backwards, etc etc etc for the last 2 hours. Any suggestions would be appreciated.
Edit: So a few of you asked if my problem had some sort of typing error. This isn't my problem specifically; this is a friend of mine's math problem, so I currently have no way of verifying if this was correctly written to me and will check with him tomorrow. After double-checking with the image he sent me, this is correctly written to the information he gave me.