Question

the maximum value of theta and phi in spherical polar coordinates is​

Answer 1

Explanation:

The coordinates used in spherical coordinates are rho, theta, and phi. Rho is the distance from the origin to the point. Theta is the same as the angle used in polar coordinates. Phi is the angle between the z-axis and the line connecting the origin and the point.

Answer 2

Answer:

The maximum value of theta is $180^o$ and phi in the spherical coordinate is $2\pi$ or $360^o$.

Explanation:

In spherical coordinate,

The $\rho$ is the distance from P to the origin. Let's say point Q is the projection of point P to the XY plane, then $\theta$ is the angle between the positive x-axis and the line segment from the origin to point Q.

Now, $\phi$ is the angle between the positive x-axis and the line segment from the origin to point P.

So, $\phi$ can take any value between $0^o$ to $360^o$ or $0$ to $2\pi$.

The point P can be anywhere in the space, in any octant. Based on the definition of theta in spherical coordinate, theta can take any value between $0^o$ to $180^o$.

Therefore, the maximum value of theta and phi in spherical polar coordinates is $180^o$ and $360^o$ respectively.

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