Reduce the equation `sqrt(3)x+y-8=0` into normal form. Find the values of p and `omega`.

Explanation

Given equation is `sqrt3+y-8 = 0`

Here, `a = sqrt3, b = 1`

`:. sqrt(a^2+b^2) = sqrt(3+1) = 2`

Dividing given equation by `2`,

`sqrt3/2x+1/2y -4 = 0`

`sqrt3/2x+1/2y = 4`

Comparing this equation with , `xcostheta+ysintheta = p`

`costheta = sqrt3/2, sintheta = 1/2 and p = 4`

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