Find the equation of the line for which

p = 3 and ∝ = 450

To Find:The equation of the line.

Given: p = 3 and ∝ = 450

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 450 + y sin 450 =3

i.e; cos 450 = cos (360 +90) = cos 90 [ cos(360+ x) = cos x]

similarly, sin 450 = sin (360 +90) = sin 90 [ sin(360+ x) = sin x]

hence, x cos 90 + y sin 90 =3

x (0)+ y 1=3

Hence the required equation of the line is y=3.