Find the equation of the line for which

p = 2 and = 3000


Given: p = 2 and = 3000


Here p is the perpendicular that makes an angle with positive direction of x-axis , hence the equation of the straight line is given by:


Formula used:


X cos + y sin =p


X cos 3000 + y sin 3000 =2


i.e; cos 3000 = cos ((8360) +120) = cos((82 )+120)= cos 120 =cos(180-60)=cos60


similarly, sin 3000 = sin ((8360) +120) = sin((82 )+120)= sin 120


= sin(180-60) = -sin 60


hence, x cos 60 + y (–sin 60) =2


x (1/2)- y (/2)=2


Hence The required equation of the line is x - y = 4


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