问题 解答题
求值:
3
sin220°
-
1
cos220°
+64sin220°
答案

3
sin220°
-
1
cos220°
+64sin220°

=

(
3
cos20°-sin20°)(
3
cos20°+sin20°)
sin220°cos220°
+64sin220°

=

4(
3
2
cos20°-
1
2
sin20°)(
3
2
cos20°+
1
2
sin20°)
1
4
sin240°
+64sin220°

=

4sin40°sin80°
1
4
sin240°
+64sin220°

=32cos40°+64•

1-cos40°
2

=32

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