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bglb212
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Problem solved!
Last edited:
OK. I didn't catch what you were doing.bglb212 said:I don't think so, because doesn't pcos(phi)=z?
Don't you mean (1 - cos^2(phi))?vela said:Try bringing the (1+cos^2(phi)) to the other side.
It's probably helpful not to change the rho^2 on the left side just yet.bglb212 said:x^2+y^2+z^2=z/(1-cos(phi)^2
Yes, I did. Thanks for catching that.Mark44 said:Don't you mean (1 - cos^2(phi))?
That's a very nice thing to say! Thank you!bglb212 said:got it, I like you mark. you're helpful. may your children be plentiful and live long
The process of converting spherical coordinates to Cartesian coordinates involves using mathematical formulas to calculate the corresponding x, y, and z coordinates. The equations used depend on the given values of the spherical coordinates, which are typically expressed as r (radius), θ (polar angle), and φ (azimuthal angle).
Spherical coordinates use a radial distance, polar angle, and azimuthal angle to locate a point in three-dimensional space, while Cartesian coordinates use x, y, and z coordinates to represent a point. Spherical coordinates are often used in physical and engineering applications, while Cartesian coordinates are used more commonly in mathematics and computer graphics.
To convert a point from spherical coordinates to Cartesian coordinates, the formulas r = √(x^2 + y^2 + z^2), θ = arccos(z/r), and φ = arctan(y/x) can be used. These equations can be rearranged to solve for the x, y, and z coordinates of the point.
Converting from spherical to Cartesian coordinates allows for a point to be represented in a different coordinate system, which can be useful for various applications. For example, converting spherical coordinates to Cartesian coordinates can make it easier to plot points on a graph or to perform calculations involving distance and angles.
One limitation of converting between spherical and Cartesian coordinates is that it can be a complex process, especially for points with large absolute values. Additionally, some points may have multiple representations in spherical coordinates, making it difficult to find the corresponding Cartesian coordinates. It is important to carefully consider the given values and which formulas to use in order to accurately convert between the two coordinate systems.