问题 选择题
化简
1-2sin10°cos10°
cos10°-
1-cos2170°
的结果为(  )
A.1B.-1C.tan10°D.-tan10°
答案

1-2sin10°cos10°
cos10°-
1-cos2170°
=
sin210°-2sin10°cos10°+cos210°
cos10°-
1-cos2170°

=

(sin10°-cos10°)2
cos10°-
sin2170°
=
cos10°-sin10°
cos10°-sin10°
=1

故选A

单项选择题
单项选择题