角a是锐角,cos(a-π/4)=4/5那么sina=多少cos(a - π/4)cosπ/4 + sin(a - π/4)sinπ/4 == 4/5 x √2/2 + 3/5 x √2/2这步为什么?

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/30 07:47:13
角a是锐角,cos(a-π/4)=4/5那么sina=多少cos(a - π/4)cosπ/4 + sin(a - π/4)sinπ/4 == 4/5 x √2/2 + 3/5 x √2/2这步为什么?
x){|R_Nd$ӑ{ADDe';;3m.tD D] D+h+U  Gʌ/|vn~|"}D:: L ٥` hDM[$k`|0{aAf l @!

角a是锐角,cos(a-π/4)=4/5那么sina=多少cos(a - π/4)cosπ/4 + sin(a - π/4)sinπ/4 == 4/5 x √2/2 + 3/5 x √2/2这步为什么?
角a是锐角,cos(a-π/4)=4/5那么sina=多少
cos(a - π/4)cosπ/4 + sin(a - π/4)sinπ/4 =
= 4/5 x √2/2 + 3/5 x √2/2
这步为什么?

角a是锐角,cos(a-π/4)=4/5那么sina=多少cos(a - π/4)cosπ/4 + sin(a - π/4)sinπ/4 == 4/5 x √2/2 + 3/5 x √2/2这步为什么?
sina =cos(π/2 - a) = cos(a - π/2) = cos( a - π/4 - π/4)
= cos(a - π/4)cosπ/4 + sin(a - π/4)sinπ/4 =
= 4/5 x √2/2 + 3/5 x √2/2 = 7/5 x √2/2 = 7√2/10