Solution:
As Given : [tex]\pi <Theta <\frac{3\pi}{2}[/tex]
360° = 2 π Radians
π Radian = 180 °
[tex]\frac{3\pi }{2} =270[/tex] degrees
Cosec ( theta) = [tex]\frac{Hypotenuse }{Perpendicular}=\frac{-5}{2}[/tex]
Let , Hypotenuse = - 5 k, and Altitude = 2 k
By pythagorean theorem
Hypotenuse² = Altitude² + Base²
(-5 k)²= (2 k)² + Base²
25 k² - 4 k² = Base²
Base = 21 k²
Base = √21 k
Coordinates of P(x,y) = (-√21 : -2)
