问题 解答题
化简求值
(1)sin(-1320°)•cos1110°+cos(-1020°)sin750°
(2)
sin(2π-α)•cos(-π+α)
sin(3π-α)•cos(π+α)
答案

(1)原式=sin(-4×360°+120°)•cos(3×360°+30°)+cos(-3×360°+60°)sin(2×360°+30°)

=

3
2
×
3
2
+
1
2
×
1
2
=1;

(2)原式=

sinαcosα
-sinαcosα
=-1.

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