求证:tan(x+y)+tan(x-y)=sin2xcos
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求证:tan(x+y)+tan(x-y)=
sin2x |
cos
证明:左=
sin(x+y) cos(x+y)+ sin(x−y) cos(x−y) = sin[(x+y)+(x−y)] cos2x•cos2y−sin2x•sin2y = sin2x cos2x−(cos2x+sin2x)sin2y = sin2x cos2x−sin2y=右.
求证:tan(x+y)+tan(x-y)=sin2xcos
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