Find the equation of the line for which
p = 5 and ∝ = 1350
Given: p = 5 and ∝ = 1350
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 1350 + y sin 1350 =5
i.e; cos 1350 = cos ((4360) -90) = cos((4
2
)- 90)= cos 90
similarly, sin 1350 = sin ((4360) - 90) = sin((4
2
) - 90)= -sin 90
hence, x cos 90 + y (–sin 90) =5
x (0)- y
1=5
Hence The required equation of the line is y=-5.