问题 选择题
3
cos10°
-
1
sin170°
=(  )
A.4B.2C.-2D.-4
答案

3
cos10°
-
1
sin170°
=
3
cos10°
-
1
sin(180°-10°)

=

3
cos10°
-
1
sin10°
=
3
sin10°-cos10°
sin10°cos10°

=

2(
3
2
sin10°-
1
2
cos10°)
sin10°cos10°
=
2sin(10°-30°)
sin10°cos10°

=

-2sin20°
1
2
•2sin10°cos10°
=
-4sin20°
sin20°
=-4

故选D

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