问题
填空题
计算sin43°cos13°-sin13°cos43°的值等于 ______.
答案
原式=sin(30°+13°)cos13°-sin13°cos(30°+13°)
=(sin30°cos13°+cos30°sin13°)cos13°-sin13°(cos30°cos13°-sin30°sin13°)
=
cos213°+1 2
sin13°cos13°-3 2
sin13°cos13°+3 2
sin213°=1 2 1 2
故答案为1 2