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Find the values of theta and p, if th...

Find the values of ` theta ` and p, if the equation `xcostheta+ysintheta=p` is the normal form of the line `x-sqrt3y-12=0`

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`x-sqrt3y-12=0`
`implies x-sqrt3y=12`
`implies x/2-sqrt3/2y=6`
`implies xcos (–pi/3)+y sin (–pi/3)=6`
Thus, `p=6` and `theta=-pi/3`
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