Given the spherical equation ρ=2cosθsinΦ. Write the equation in rectangular coordinates.
Thanks!!
$\displaystyle \rho = 2\cos{\theta}\sin{\phi}$
$\displaystyle \rho^2 = 2\rho \cos{\theta}\sin{\phi}$
... since $\displaystyle x = \rho \sin{\phi} \cos{\theta}$ ...
$\displaystyle \rho^2 = 2x$
... since $\displaystyle \rho = \sqrt{x^2+y^2+z^2}$ ...
$\displaystyle x^2+y^2+z^2 = 2x$
nice website explains it very well ...
Spherical Coordinates