sin(a+30°)+cos(a+60°)2cosa=_.

问题描述:

sin(a+30°)+cos(a+60°)
2cosa
=______.

sin(a+30°)+cos(a+60°)
2cosa
=
sin(a+30°)+sin(90°−a−60°)
2cosa

=
sin(a+30°)+sin(30°−a)
2cosa
=
2cosαsin30°
2cosα
=2sin30°=1,
故答案为:1