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Displacement of a particle is given by x...

Displacement of a particle is given by `x=4(cospit+sinpit)m`. Find its amplitude.

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`x=4(cospit+sinpit)`
`=4sqrt2(cospit*1/sqrt2+sinpit*1/sqrt2)`
`=4sqrt2(cospit*"cos"pi/4+sinpit*"sin"pi/4)`
`=4sqrt2cos(pit-pi/4)m`
`therefore` Amplitude = `4sqrt2m`.
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