问题 选择题
化简
1-sin100°
的结果为(  )
A.cos50°B.cos50°-sin50°
C.sin50°-cos50°D.±(cos50°-sin50°)
答案

1-sin100°
=
sin250°+cos250-2sin50°cos50°
=
(sin50°-cos50)2
=|sin50°-cos50°|

∵sin50°>cos50°=sin40°

1-sin100°
=sin50°-cos50°

故选:C.

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