SOLUTION: (cscx+ cotx)(1-cosx)=sinx I don't know how to proove the question. I tried and got a different answer. Can you help me?

Question 568765: (cscx+ cotx)(1-cosx)=sinx
I don't know how to proove the question. I tried and got a different answer. Can you help me?
Found 2 solutions by Alan3354, sEahors3:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(cscx+ cotx)(1-cosx)=sinx
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Change everything to sines and cosines.

Answer by sEahors3(6) (Show Source): You can put this solution on YOUR website!
you change everything to sin and cos .. so what u do is you prove the left side since it will be easier

since in the first term we have the same denominator they can be one fraction
so it will be

now we just multiply the two terms

now we know when we have two terms being multiplied and the sign is different we will have something like this

same thing applies for the numerator in this equation

and we also know the trigonometric identity that says

so we substitute that in for the numerator also and we get

dividing two same number with different exponents means subtracting the exponent so we will end up with

note : it is supposed to be the sin that is squared .. not the X .. but the website didnt allow me to do that so =/ ... but i hope this helps =)
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