(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the derivative of the function.

f(x) = [tex]\frac{cotx}{sinx}[/tex]

2. Relevant equations

[tex]\frac{cotx}{sinx}[/tex] = [tex]\frac{cosx}{sin^{2}x}[/tex]

3. The attempt at a solution

I have the solution guide, I think I'm just having a brain fart but this is what I have so far which is the last step before the final answer

[tex]\frac{-sin^{2}x - 2cos^{2}x}{sin^{3}x}[/tex]

The next step, which is the answer according to the book is

[tex]\frac{-1-cos^{2}x}{sin^{3}x}[/tex]

Am I just not seeing something on my last step? I think they got the -1 from using the pythagorean indentity but then why is the cosx still hanging around? Thanks.

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# Probably really easy, derivative of cotx/sinx

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