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The position ...

Question

The position of a particle is given by
y = a cosωt
x = a sinωt
Then, find the shape of the trajectory of the path.

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Solution

$x = a \cos ω t, y = a \sin ω t O n S q u a r i n g a n d a d d i n g, w e g e t x^{2} + y^{2} = a^{2} W h i c h r e q u i r e d e q n o f C i r c l e .$

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