Find the equation of the line for which

p = 8 and ∝ = 1500

Given: p = 8 and ∝ = 1500

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 1500 + y sin 1500 =8

i.e; cos 1500 = cos ((4360) +60) = cos((42 )+60)= cos 60

similarly, sin 1500 = sin ((4360) +60) = sin((42 )+60)= sin 60

hence, x cos 60 + y sin 60 =8

x (1/2)+ y (/2)=8

Hence The Required equation of the line is x + y = 16.