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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 `sqrt(3)x+y+2=0` .

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`sqrt3x+y+2=0`
`implies sqrt3x+y=-2`
`implies -sqrt3/2x-y/2=1`
`implies xcos (frac{7pi}{6})+y sin (frac{7pi}{6})=1`
Thus, `p=1` and `theta=frac{7pi}{6}`
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