Question 1064659
 I collected the like terms to give: 2sin 2xcos2x = cos 2x. My question is if it's possible to divide both sides by cos 2x? Or would I lose some of the values by doing so?
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don't divide by it.
2sin 2xcos2x - cos 2x = 0
cos(2x)*(2sin(2x) - 1) = 0
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cos(2x) = 0
sin(2x) = 1/2
etc