化简:cos83°+sin75°sin8°/cos7°-cos75°cos82°

化简:cos83°+sin75°sin8°/cos7°-cos75°cos82°
化简:cos83°+sin75°sin8°/cos7°-cos75°cos82°

化简:cos83°+sin75°sin8°/cos7°-cos75°cos82°
=[sin(15-8)+cos15sin8]/[cos(15-8)-sin15sin8]
=[(sin15cos8-cos15sin8)+cos15sin8]/[(cos15cos8+sin15sin8)-sin15sin8]
=sin15cos8/(cos15cos8)
=tan15
=(1-cos30)/sin30
=(1-√3/2)/(1/2)
=2-√3.

化简（cos83度+sin75度*sin8度）/cos7度-cos75度*cos82度 （cos83度+sin75度*sin8度）/cos7度-cos75度*cos82度 =[cos(75+8)+sin75sin