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Convert to Polar Coordinates (3,pi/2)

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Final answer:

The given notation (3,pi/2) is already in polar coordinate format, with 3 being the radial coordinate and pi/2 as the angular coordinate. If it were in Cartesian format, conversion to polar coordinates would involve calculating the radial distance and angle using the Pythagorean theorem and trigonometric functions, respectively.

Step-by-step explanation:

To convert the given point to polar coordinates, we need the radial coordinate, r, and the angular coordinate, θ. In this case, the notation (3,pi/2) seems to already be in a polar coordinate format, where 3 is the radial coordinate indicating the distance to the origin, and pi/2 (or π/2) is the angular coordinate indicating the angle made with the positive x-axis. However, if this point denotes a Cartesian coordinate, the equivalent polar coordinates would be r = sqrt(x^2 + y^2) for the radial distance, and θ = arctan(y/x) for the angle with respect to the positive x-axis. But given the nature of the question, it appears to be a misunderstanding as the coordinates are already in a polar format.

Typically, a Cartesian point (x,y) converts to polar coordinates with a radial distance using the Pythagorean theorem and an angle using trigonometric functions.

User Sander Molenkamp
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