问题 解答题
求证:tan(x+y)+tan(x-y)=
sin2x
cos2x-sin2y
答案

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.

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