来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/18 12:06:36
高数,正弦函数导数推论,
sin(x+h)-sin(x)=2cos(x+h/2)sin(h/2)怎么但这部得?
sin(A+B)=sinAcosB+cosAsinB (1)
sin(A-B)=sinAcosB-cosAsinB (2)
(1)-(2)
2cosAsinB = sin(A+B)- sin(A-B)
now
A+B=x+h (3)
A-B= x (4)
=>A = x+h/2
B= h/2
=>sin(x+h)-sin(x)=2cos(x+h/2)sin(h/2)