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Solve for x if sin 3x = cos 3x.
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We have to solve sin 3x = cos 3x
First divide both sides by cos 3x
=> sin 3x / cos 3x = cos 3x/ cos 3x
=> tan 3x = 1
=> 3x = arc tan 1
=> 3x = pi/4
=> x = pi/12
Also, we know that the tan function is periodic and values repeat after pi radians.
So, x = pi/12 + n*pi
Therefore x = pi/12 + n*pi.
Posted by justaguide on January 9, 2011 at 3:51 PM (Answer #1)
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