求sin75°乘以sin150°+cos990°乘以cos(-870°)+tan600°乘以tan1110°的值

问题描述:

求sin75°乘以sin150°+cos990°乘以cos(-870°)+tan600°乘以tan1110°的值

sin75°=sin(45°+30)=根号2*(1+根号3)/4
sin150°=sin30°=1/2
cos990°=cos270°=0
tan600°=tan60°=根号3
tan1110°=tan30°=根号3/3
sin75°乘以sin150°+cos990°乘以cos(-870°)+tan600°乘以tan1110°
=根号2*(1+根号3)/8+1