Find all polar coordinates of point P = (6,31°). Plz explain the steps :)

1 answer:

5 0

P = (6,31°) is already a polar coordinate.

In the notation (r, α) if you make r negative, it points in the opposite direction. If you add 180° to α you compensate for that.

Therefore (6,31°) = (-6,31°+180°) = (-6, 211°)

However, it is more usual to keep r positive.

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The sample selected here is n = 30.

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$=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)$

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