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True or False:
sin(x+y)×sin(x−y)=sin2x−sin2y \sin (x +y ) \times \sin (x - y ) = \sin ^2 x - \sin ^2 y sin(x+y)×sin(x−y)=sin2x−sin2y
Inspiration behind the problem: It is well known that (x+y)(x−y)=x2−y2 (x+y) ( x-y) = x^2 - y^2 (x+y)(x−y)=x2−y2. Does this still work if we apply a trigonometric function, or is that a common misconception?
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