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 July 15th, 2015, 11:34 AM #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, 12:46 PM #2 Global Moderator   Joined: May 2007 Posts: 6,770 Thanks: 700 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, 12:46 PM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,664 Thanks: 2644 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. Tags amplitude, maximum Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Monox D. I-Fly Pre-Calculus 4 October 13th, 2014 05:58 AM servant119b Algebra 2 June 7th, 2012 02:27 PM stuart clark Algebra 5 March 11th, 2011 07:10 PM thaithuan_GC Elementary Math 7 July 23rd, 2009 02:14 PM servant119b Calculus 1 December 31st, 1969 04:00 PM

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