proving algibraicaly

prove algebraically
sinA + cosAcotA = cscA
I tried this but I can only get this far and I am wondering how I am going wrong?

sinA + cosAcotA = cscA
sinA + cosA(cosA/sinA)
sinA + cos^2A/sinA
sinA + 1-sin^2A/sinA

please help

Quote:

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sinA + cos^2A/sinA

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Taking the LCM

Sin^2A + cos^2A= cosecA * Sin A

But cosec A= I/sin A

so sin^2A+ cos^2A= 1

which we already know

which means that the assumption you started off with is correct.