Find the equation of the line for which p = 3 and ???? = 2250
Find the equation of the line for which p = 3 and ???? = 2250

Answer : Given: p = 3 and ???? = 2250

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 2250 + y sin 2250 =3

i.e; cos 2250 = cos ((6×360) +90) = cos((6×2π )+ 90)= cos 90

similarly, sin 2250 = sin ((6×60) + 90) = sin((6×2π ) +90)= sin 90

hence, x cos 90 + y sin 90 =3 x × (0)+y ×1=3

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