问题 解答题
(1)求值sin2120°+cos180°+tan45°-cos2(-330°)+sin(-210°)
(2)化简:
sin(α-2π)cos(α-
π
2
)cos(π+α)
sin(3π-α)sin(-π-α)
答案

(1)sin2120°+cos180°+tan45°-cos2(-330°)+sin(-210°)

=(sin60°)2-cos(0°)+tan45°-(cos30°)2+sin(30°)

=

3
4
+(-1)+1-
3
4
+
1
2

=

1
2

(2)

sin(α-2π)cos(α-
π
2
)cos(π+α)
sin(3π-α)sin(-π-α)

=

-sin2αcosα
sin2α

=-cosα

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