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Chapter 7: Problem 88

Explain how to plot \((r, \theta)\) if \(r>0\) and \(\theta>0\)

Short Answer

Expert verified
To plot the polar coordinate point (r, 胃) where r > 0 and 胃 > 0, first identify the 'r' value and measure this distance from the origin. From that point, rotate counter-clockwise '胃' degrees or units. The point you land on is your polar coordinate (r, 胃).

Step by step solution

01

Understand Polar Coordinate System

Polar coordinates are two-dimensional and thus they can be used to determine the coordinates of a point in the XY-plane. Where r is the radial distance and 胃 is the angular coordinate. It's vital to first grasp these concepts before proceeding to plot (r, 胃).
02

Determine the Values of r and 胃

Given that both r and 胃 are more than 0, determine these two values. 'r' is a positive radial distance from the origin, and '胃' is a positive angle in degrees (or radians) measured counter-clockwise from the x-axis.
03

Plot the Polar Coordinate

Next is the actual plotting of the polar coordinate. First, measure 'r' units away from the origin. From that point, move counter-clockwise from the x-axis '胃' units (or degrees). Mark the location - that's the polar coordinate point (r, 胃).

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