sin(-870度)×cos930度÷cos(-1380度)×sin(-690度)

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sin(-870度)×cos930度÷cos(-1380度)×sin(-690度)

sin(-870度)×cos930度÷cos(-1380度)×sin(-690度)
sin(-870度)×cos930度÷cos(-1380度)×sin(-690度)

sin(-870度)×cos930度÷cos(-1380度)×sin(-690度)
sin(-870度)×cos930度÷cos(-1380度)×sin(-690度)
=sin(-720°-150°)*cos(720°+210°)÷cos(-1440°+60°)*sin(-720°+30°)
=sin(-150°)*cos(210°)÷cos(60°)*sin(30°)
=(-sin30)*(-cos30)÷cos(60°)*sin(30°)
=(√3/2)÷(1/2)
=√3

sin(-870)=sin(-720-150)=-sin150=-1/2
cos930=cos(150-1080)=cos150=-√3/2
cos(-1380)=cos(60-1440)=cos60=1/2
sin(-690)=(30-720)=1/2
原式=-1/2×(-√3/2)÷1/2×1/2
=√3/4

四分之根号三