math help

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JohnDoeDDS

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(Sin^4 X - cos^4 X)/Sin2X

Ok I factored the top and got [(Sin^2 X - Cos^2X)(Sin^2 X + cos^2 X)]/
sin2X

now I know Sin^2 X + cos^2 X = 1 so the top just becomes

(Sin^2 X - Cos^2 X)/sin2X

Now I am stuck! the answer is cot2X. Could someone explain this please.
 
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