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(wtc)=2sin(wt)+sin(wt)cos(c)cos(wt)sin(c) Let s=sin(wt) $\displaystyle s(2+cos(c))=\sqrt{1s^2}sin(c)$ 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.


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