Sketch the graph of r = sin(30)
Given : r = sin(3θ) ,
Any graphing or plotting must start with a table of values of the independent variable and the evaluated expression. polar coordinate paper may make this easier for equations in polar coordinates.
Because polar coordinates are based on angles, unlike cartesian coordinates, polar coordinates have many different ordered pairs. Because infinitely many values of theta have the same angle in standard position, an infinite number of coordinate paire describe the same point. Also, a positive and a negative co-terminal angle can describe the same point for the same radius, and because the radius can be either positive or negative, you can express the point with polar coordinates in many ways.
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