anonymous
  • anonymous
prove THAT sin3x=cos3x
Algebra
chestercat
  • chestercat
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.Sam.
  • .Sam.
Start by \[\sin(3x)=\sin(2x+x)\] Then use the sum to difference formula
anonymous
  • anonymous
are there any values setfor this question? sin 3x = cos 3x only when tan 3x =1
anonymous
  • anonymous
but not a complete answer

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anonymous
  • anonymous
wrong SHADOWYS
anonymous
  • anonymous
oh. okay. sub x=0 into the eq and see what u get
anonymous
  • anonymous
X is a angle not a variable
anonymous
  • anonymous
In this case, since the question is asking for the [[proof]], not the solution, i don't see how you can get it, without setting the angles into set angles, like \(\frac{\pi}{12}\) rad
anonymous
  • anonymous
i can give you a hint..!
anonymous
  • anonymous
in the case where you need the solution, sin 3x = sin (90-3x) and use the general formula, \(3x=n\pi + (-1)^n (90-3x)\)
anonymous
  • anonymous
that is the solution, not the proof though. So i don't think I gave any help into solving that question. note: \(n \in N\)
anonymous
  • anonymous
u wanna calculate the value of x ?
anonymous
  • anonymous
just find the vale of "X"
anonymous
  • anonymous
sin 45 = cos 45 sin(3*15) = cos(3*15) so x=15 thus sin3x=cos3x your welcome
anonymous
  • anonymous
thanks

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