Thealternate sets of representations for the points A-F from the Figure.

Phoebe 2020-11-16 Answered
Thealternate sets of representations for the points A-F from the Figure.
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Expert Answer

mhalmantus
Answered 2020-11-17 Author has 106 answers

Consider the point A, it lies on the angle θ=π6 and the distance AO is 4 units where O is the origin.
Therefore, the point A is represented by (4,π6) in polar coordinate system.
Subtract 2π from the angle to get the alternate solution.
Therefore, the point A(4,π6) can also be represented by (4,π62π)=(4,11π6).
Change the radial coordinate to -4 and add pi from the angle to obtain the other alternate solution. Thus, the point P (4,π6) can be given by (4,π6+π)=(4,7π6).
Similarly, calculate the alternate representations for the points B to F and obtain the results as shown in the below table.
image
Hence, Alternate representation for the points A-F listed.

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