化简sin13°cos343°+sin77°sin17°

2025-04-23 19:21:53
推荐回答(2个)
回答1:

sin13°cos343°+sin77°sin17°
=sin13°cos(360°-17°)+sin77°sin17°
=sin13°cos(-17°)+sin77°sin17°
=sin13°cos17°+sin77°sin17°
=sin13°cos17°+COS13°sin17°
=SIN(sin13°+17°)
=sin30度=1/2

回答2:

sin13°cos343° + sin77°sin17°
= sin13°cos17° + sin17°cos13°
= sin(13°+17°)
= sin30°
= 1/2