Flashcards: Understanding Sine, Cosine, and Tangent
If the polar coordinates of a point are , then what are its rectangular coordinates?
The polar coordinates of a point are given as , where r represents the distance from the point to the origin, and represents the angle of rotation. (A negative angle of rotation denotes a clockwise rotation, while a positive angle denotes a counterclockwise rotation.)
The following formulas are used for conversion from polar coordinates to rectangular (x, y) coordinates.
In this problem, the polar coordinates of the point are , which means that and . We can apply the conversion formulas to find the values of x and y.
The rectangular coordinates are .
The answer is .
What is the ?
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