I worked a derivative problem all the way down to this:

$\displaystyle \frac {-csc^2 x}{(cot + 1)^2} $

Answer: $\displaystyle \frac {-1}{(sinx + cosx)^2}$

I'm pretty sure there is a way to simplify this, but I don't see how, even after studying trigonometric identities.

I think $\displaystyle csc^2 + cot^2= 1$ has something to do with this.

Or maybe make csc and cot as their corresponding sin and cos values...

I'm just not sure!!!

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