F.4 A.maths歸約公式 help me!!!!!!

2009-10-04 7:40 pm
(a)證明sin(nx) sinx = cos(n-1)x - cosx cos(nx)

回答 (2)

2009-10-04 7:54 pm
✔ 最佳答案
By using formula:
cos(A-B)=cosAcosB+sinAsinB
Sub A=nx and B=x, we have:
cos(nx-x)=cosnxcosx+sinnxsinx
cos(n-1)x=cosnxcosx+sinnxsinx
sinnxsinx=cos(n-1)x-cosnxcosx
2009-10-04 10:42 pm
formula: cos(A-B)=cosAcosB+sinAsinB
Let nx=A, x=B

cos(nx-x) = cosnx cosx- sinnx sinx
cos(n-1)x = cosx cos(nx)- sin(nx)sinx
sin(nx)sinx= cos(n-1)x-cosx cos(nx)
參考: me


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