问题 选择题
cos275°+cos215°+cos15°cos75°=(  )
A.
6
2
B.
3
2
C.
5
4
D.
3
4
+1
答案

cos275°+cos215°+cos15°cos75°

=cos2(90°-15°)+cos215°+cos15°cos(90°-15°)

=sin215°+cos215°+cos15°sin15°

=1+

1
2
sin30°

=1+

1
4

=

5
4

故选C

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