sin17度*cos43度+sin73度*cos47度= 帮我把公式写出来?

问题描述:

sin17度*cos43度+sin73度*cos47度= 帮我把公式写出来?

sin(a+b)=sinacosb+cosasinb,
sina=cos(90°-a)
由此可得,结果就不说了
OMG,竟然没分!!!!

原式=sin17°cos43°+cos17°sin43°
=sin(17°+43°)
=sin60°
=√3/2

sin17°·cos43°+ sin73°·cos47°
= sin17°·cos43°+ cos(90°-73°)·sin(90°-47°)
= sin17°·cos43°+ cos17°·sin43°
= sin(17°+ 43°)
= sin60°
= √3/2

sin17度*cos43度+sin73度*cos47度=sin60度=-1/2