A particle is moving In XY plane whose x an y coordinates are x= 3sin ​2pi t and t =2 cos 2 pi t where x and y are in metre and t is in second.Find the trajectory of the particle.


Dear Student ,
                         Given x=3sin(2πt)    or x3=sin(2πt)-----1and y=2cos(2πt)   or y2=cos(2πt)------2for geting trajectry we have to eliminate t from 1 and 2 so square both side of equation and addwe getx29+y24=sin2(2πt)+cos2(2πt)=1which denote ellipse
Regard

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