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