fawad114
prove THAT
sin3x=cos3x
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.Sam.
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Start by
\[\sin(3x)=\sin(2x+x)\]
Then use the sum to difference formula
Shadowys
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are there any values setfor this question?
sin 3x = cos 3x only when tan 3x =1
fawad114
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but not a complete answer
fawad114
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wrong SHADOWYS
Shadowys
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oh. okay. sub x=0 into the eq and see what u get
fawad114
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X is a angle not a variable
Shadowys
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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
fawad114
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i can give you a hint..!
Shadowys
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in the case where you need the solution,
sin 3x = sin (90-3x)
and use the general formula,
\(3x=n\pi + (-1)^n (90-3x)\)
Shadowys
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that is the solution, not the proof though. So i don't think I gave any help into solving that question.
note: \(n \in N\)
moli1993
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u wanna calculate the value of x ?
fawad114
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just find the vale of "X"
Best_Mathematician
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sin 45 = cos 45
sin(3*15) = cos(3*15)
so x=15
thus sin3x=cos3x
your welcome
fawad114
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thanks