SOLUTION: Verify the following identity cos(x)sin(squared)(x)+cos(cubed)(x)/
sin(x)=cot(x)
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Question 374918: Verify the following identity cos(x)sin(squared)(x)+cos(cubed)(x)/
sin(x)=cot(x)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
After struggling with this for 20 minutes, I finally let 
.
I'll leave it as an exercise for the student to verify that:
\sin^2\left(\frac{\pi}{4}\right)\ +\ \frac{\cos^3\left(\frac{\pi}{4}\right)}{\sin\left(\frac{\pi}{4}\right)}\ \neq\ \cot\left(\frac{\pi}{4}\right))
.
which provides a counter example and proves that:
\sin^2\left(x\right)\ +\ \frac{\cos^3\left(x\right)}{\sin\left(x\right)}\ \not\equiv\ \cot\left(x\right))
.
John
My calculator said it, I believe it, that settles it
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