问题 解答题
化简;
(1)
sin(π+α)sin(2π-α)cos(-π-α)
sin(3π+α)cos(π-α)cos(
2
+α)

(2)cos20°+cos160°+sin1866°-sin(-606°)
答案

(1)原式=

-sinα(-sinα)(-cosα)
-sinα(-cosα)sinα
=-1;

(2)原式=cos20°-cos20°+sin(5×360°+66°)-sin(-2×360°+114°)

=sin66°-sin114°

=sin66°-sin(180°-66°)

=sin66°-sin66°

=0.

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