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求值:
1−2sin10°cos10°
cos10°
1−cos2170°
人气:445 ℃ 时间:2019-08-20 04:18:05
解答
原式=
1−2sin10°cos10°
cos10°−
1−cos2170°

=
sin210°−2sin10°cos10°+cos210°
cos10°−
sin2170°

=
|sin10°−cos10°|
cos10°−|sin170°|

=
cos10°−sin10°
cos10°−|sin(180°−10°)|

=
cos10°−sin10°
cos10°−sin10°
=1
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