Find the equation of the line for which p = 4 and ???? = 1800
Find the equation of the line for which p = 4 and ???? = 1800

Answer : Given: p = 4 and ???? = 1800

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 1800 + y sin 1800 =4

i.e; cos 1800 = cos (5 × 360) = cos(5 × 2π )= cos 360 = 1 similarly, sin 1800 = sin (5 × 360) = sin(5 × 2π )= sin 360 =0

hence, x × 1+ y ×0=4

Hence The required equation of the line is x=4.