sin133度cos 197度+cos 47度cos 73度=-sin47度sin 73度+cos 47度cos 73度
=cos(47度 +73度)=cos120度=-1/2
sin133°cos197°+cos47°cos73°
=sin(180°-47°)cos(180°+17°)+cos47°cos(90°-17°)
=sin47°(-cos17°)+cos47°sin17°
=sin(-47°)cos17°+cos(-47°)sin17°
=sin(-47°+17°)
=sin(-30°)
=-sin30°
=-0.5
只能计算得出,谁也看不出来
sin133°cos197°+cos47°cos73°
=sin(180°-47°)cos(180°+17°)+cos47°cos(73°)
=-sin47°cos17°+cos47°sin17°
=sin17°cos47°-cos17°sin47°
=sin(17°-47°)
=sin(-30°)
=-sin30°
=-0.5
先用诱导公式,再用和差公式。