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Maximum valueFind the maximum displacement of the oscillation x=2cos(wt) +cos[wt-(π /6)] |

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. |

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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