Sin75°/Cos75°+Cos75°/Sin15°=?
问题描述:
Sin75°/Cos75°+Cos75°/Sin15°=?
答
Sin75°/Cos75°+Cos75°/Sin15°
=Sin75°/Cos75°+Cos75°/Cos75°
=tan75°+1
=tan(30°+45°)+1
=(tan30°+tan45°)/(1-tan30°*tan45°) +1
=3+√3