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求证:tan(x+y)+tan(x-y)=
sin2x
cos2x−sin2y
人气:438 ℃ 时间:2020-02-04 05:20:03
解答
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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