Question

θ चे निरसन करा:

जर x = r cosθ आणि y = r sinθ

Answer 1

x = r cosθ

y = r sinθ

x² = r² cos²θ

∵ `x^2/r^2 = cos^2theta`     ...(1)

`y^2 = r^2sin^2theta`

`y^2/x^2 = sin^2theta`

`sin^2theta + cos^2theta = 1`

`y^2/r^2 + x^2/r^2 = 1`    ...[सूत्र]

∴ `(x^2 + y^2)/r^2 = 1`

∴ `x^2 + y^2 = r^2`