化简:sin315°sin(-1260°)+cos570°sin(-840°)
问题描述:
化简:sin315°sin(-1260°)+cos570°sin(-840°)
答
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