Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Let the rectangular coordinates (x, y) is represented by the polar coordinates (r, θ).
By applying Pythagoras theorem in ΔPAO,
PO² = AO² + AP²
r² = x² + y²
r = [tex]\sqrt{x^2+y^2}[/tex]
By applying tangent rule in ΔAPO,
tanθ = [tex]\frac{AP}{OA}[/tex]
tanθ = [tex]\frac{y}{x}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{y}{x})[/tex]
Therefore, Option 2 will be the correct option.
