Answer : 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 ((8×360) +120) = cos((8×2π )+120)= cos 120 =cos(180-60)=cos60

similarly, sin 3000 = sin ((8×360) +120) = sin((8×2π )+120)= sin 120

= sin(180-60) = -sin 60

hence, x cos 60 + y (–sin 60) =2 x × (1/2)- y × (√3/2)=2

Hence The required equation of the line is x – √3y = 4