anonymous
  • anonymous
take the integration of (sin5x)*(sin3x)dx
Mathematics
katieb
  • katieb
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amoodarya
  • amoodarya
first sin5x sin 3x =-1/2{cos(5x+3x) - cos (5x-3x)}
anonymous
  • anonymous
how in the gods name did you get that
amoodarya
  • amoodarya
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anonymous
  • anonymous
the only trick we know so far are the trigonometric identities and half angle formula
anonymous
  • anonymous
so confused ...
amoodarya
  • amoodarya
understand ? i use product to sum formula
anonymous
  • anonymous
oh okay thanks
amoodarya
  • amoodarya
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anonymous
  • anonymous
ive never seen that format of sum for sine before thanks. is there other ways to do it or is that it
amoodarya
  • amoodarya
other way is to expand sin 5x ,sin 3x but its harder i send there formula 4 you
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anonymous
  • anonymous
i guess ill have to remember the sum rule then :P
anonymous
  • anonymous
the other one you sent is not gonna be much help in the long run probably. thanks a lot though
amoodarya
  • amoodarya
and 3st way write sin5x=sin4x+x and sin 3x=sin4x-x so you have conjugate union if expand them it is easier than 2nd way (that i said)

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