In both systems ρ is often used instead of r. In one system frequently encountered in physics (r, θ, φ) gives the radial distance, polar angle, and azimuthal angle, whereas in another system used in many mathematics books (r, θ, φ) gives the radial distance, azimuthal angle, and polar angle. The use of symbols and the order of the coordinates differs between sources. The polar angle may be called co-latitude, zenith angle, normal angle, or inclination angle. The radial distance is also called the radius or radial coordinate. In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuth angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane. The angles (`theta` and `phi`) are returned in decimal degrees. The length (`rho`) of the vector is in the units entered. This formula lets the user enter three Cartesian coordinates (X, Y and Z) This algorithm converts the spherical coordinates. However, these can be automatically converted to compatible units via the pull-down menu. Spherical Coordinates (ρ,θ,?): The calculator returns the magnitude of the vector (ρ) as a real number, and the azimuth angle from the x-axis (?) and the polar angle from the z-axis (θ) as degrees. ģ) Scroll/tab to Make Default and press twice.Ĥ) Return to the current document by pressing 4:Current and press to see the anwer in auto mode.The Cartesian to Spherical Coordinates calculator computes the spherical coordinates Vector in 3D for a vector given its Cartesian coordinates. You may change the mode to Auto by following the steps below:ġ) Press, 5: Settings, 2: Document Settings.Ģ) Scroll/tab to Calculation Mode, press right arrow, scroll to Auto, press. Please Note: Answers will vary depending on mode settings. Please Note: If the Angle is not set to Radian, please scroll to Angle, press the right arrow once, scroll to Radian, press, scroll or tab down to Make Default, and press twice.ģ) Press 1: New Document and 1: Add Calculator to insert a new calculator page.ĥ) Input press scroll to Ð press. If you do not receive the answer above, please press to get an approximate answer.Įxample: Convert the polar coordinates () to rectangular form.Ģ) Press 5: Settings and press 2: Document Settings to ensure that Angle is set to Radian. The examples below will demonstrate how to perform polar to rectangular and rectangular to polar conversions using the TI-Nspire family handhelds.Įxample: Convert the rectangular coordinates into polar form.Ģ) Press 1: New Document and 1: Add Calculator to insert a new calculator page.Ħ) Press (button with the open book).ĩ) Press again to display the answer. How do I perform polar and rectangular conversions using the TI-Nspire family handhelds? Solution 32371: Performing Polar and Rectangular Conversions using the TI-Nspire™ Family Handhelds.
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