(1+sinx+cosx)/(sinx/2+cosx/2)化简

问题描述:

(1+sinx+cosx)/(sinx/2+cosx/2)化简
化简
(1+sinx+cosx)/(sinx/2+cosx/2)

分子=[sin²(x/2)+cos²(x/2)]+2sin(x/2)cos(x/2)+[cos²(x/2)-sin²(x/2)]=[cos(x/2)+sin(x/2)]²+[cos(x/2)-sin(x/2)][cos(x/2)+sin(x/2)]=[cos(x/2)+sin(x/2)][cos(x/2)+sin(x/2)+cos(x/2)-s...