化简:sin315°sin(-1260°)+cos570°sin(-840°)
来源:百度知道 编辑:UC知道 时间:2024/06/06 08:55:58
化简:sin315°sin(-1260°)+cos570°sin(-840°)
sin315°*sin(-1260°)+cos570°*sin(-840°)
=-sin45*(-sin180)+cos150(-sin120)
= sin45*sin180-cos150*sin120
=(根号2)/2*1-(-根号3)/2*(根号3)/2
=(根号2)/2+3/2
=(根号2+3)/2
sin315°sin(-1260°)+cos570°sin(-840°)
=-sin45*(-sin180)+cos150(-sin120)
=0+(-cos30)(sin60)
=-3/4
过程:
=sin(-75°)sin180°+cos110°sin(-120)
= 0 + sin20°sin120°
= sin20° * sin60°
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