题目内容
计算sin43°cos13°-sin13°cos43°的值等于
______.
原式=sin(30°+13°)cos13°-sin13°cos(30°+13°)
=(sin30°cos13°+cos30°sin13°)cos13°-sin13°(cos30°cos13°-sin30°sin13°)
=
cos213°+
sin13°cos13°-
sin13°cos13°+
sin213°=
故答案为
=(sin30°cos13°+cos30°sin13°)cos13°-sin13°(cos30°cos13°-sin30°sin13°)
=
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故答案为
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