sin^2(3x)=1−cos6x , can someone explain the process?
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OpenStudy (anonymous):
sin^2(3x) = 1 - cos^2(3x)
might be useful here
OpenStudy (anonymous):
no
start with cos 6x = 1 - 2sin^2(3x)
1 - cos 6x = 2sin^2(3x)
- are you sure you have the correct expression
OpenStudy (anonymous):
Jimmyrep had the right idea...
OpenStudy (anonymous):
\[1-\cos(6x)=2\sin^23x\]
OpenStudy (anonymous):
Oh .
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OpenStudy (anonymous):
Not so bright is correct...to sub
OpenStudy (anonymous):
\[\sin^23x=0\]
\[3x=n \pi\]
OpenStudy (anonymous):
yes i think notsobright is correct
OpenStudy (anonymous):
cos(2u)=1-2sin^2(u)
OpenStudy (anonymous):
yup
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OpenStudy (anonymous):
since u = 3x
then cos2(3x)= 1-2sin^2(3x)
OpenStudy (anonymous):
Thanks!
OpenStudy (anonymous):
this is what jimmyrep had to start with...not what is given...make sure you copied it down correctly.
OpenStudy (anonymous):
Alright .
OpenStudy (anonymous):
notsobright is correct
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OpenStudy (anonymous):
I first thought he/she were trying to verify that they were equal....
but as notsobright and kingkos has indicated...it appears that you were solving for x in which case not so bright was correct...
OpenStudy (anonymous):
values in which the sin^2(3x)=0...or when 3x=npi as was stated.
sorry for the confusion.