问题 解答题
求值:
1-2sin10°cos10°
cos10°-
1-cos2170°
答案

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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