My Math Forum Maximum value

 Trigonometry Trigonometry Math Forum

 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: 6,214 Thanks: 492 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: 6,557 Thanks: 2148 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 Display Modes Linear 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 08:10 PM thaithuan_GC Elementary Math 7 July 23rd, 2009 02:14 PM servant119b Calculus 1 January 1st, 1970 12:00 AM

 Contact - Home - Forums - Top