问题 选择题
8sin870°•cos(-660°)•cot(-355°)•tan(-175°)的值是(  )
A.2B.-2C.
1
2
D.-
1
2
答案

因为8sin870°•cos(-660°)•cot(-355°)•tan(-175°)

=8sin(720°+150°)•cos(660°)•cot(355°)•tan(175°)

=8sin150°•cos(720°-60°)•cot(360°-5°)•tan(180°-5°)

=-4cos60°•cot(-5°)•tan5°

=2•cot5°•tan5°

=2.

故选A.

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