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 July 15th, 2015, 12:34 PM #1 Newbie   Joined: Jul 2015 From: Singapore Posts: 3 Thanks: 0 Maximum value Find the maximum displacement of the oscillation x=2cos(wt) +cos[wt-(π /6)]
 July 15th, 2015, 01:46 PM #2 Global Moderator   Joined: May 2007 Posts: 6,680 Thanks: 658 Use elementary calculus to get: let $\displaystyle c=\frac{\pi}{6}$ 0=2sin(wt)+sin(wt-c)=2sin(wt)+sin(wt)cos(c)-cos(wt)sin(c) Let s=sin(wt) $\displaystyle s(2+cos(c))=\sqrt{1-s^2}sin(c)$ I'll let you finish - square both sides, solve for $\displaystyle s^2$, etc.
 July 15th, 2015, 01:46 PM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,598 Thanks: 2583 Math Focus: Mainly analysis and algebra I think you should start by using $$\cos(A+B) = \cos A \cos B - \sin A \sin B$$ on the second term.

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