SOLUTION: please verify {{{(Sin^2x)/(2-2Cos(x)) = Cos^2}}}{{{(x/2)}}}

Question 240826: please verify
Answer by Edwin McCravy(20062) (Show Source): You can put this solution on YOUR website!


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We will work only with the left sides.
Using the identity , 
we have  and so we
replace  by 
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Factor the numerator as the difference perfect 
squares, and factor 2 out of the denominator:
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Cancel the  factors:
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Now we use the identity 
by letting .  This gives 
or . So we substitute that
for 
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Edwin

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