Find the rectangular coordinates of the point with the polar coordinates (3, 5pi/3)

Question

Find the rectangular coordinates of the point with the polar coordinates (3, 5pi/3)

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Eden 2 days 2021-10-11T22:13:25+00:00 1 Answer 0

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    2021-10-11T22:14:41+00:00

    Answer:

    The rectangular coordinates are (1.50, -2.60) to the nearest hundredth.

    Step-by-step explanation:

    The radius is 3 and the angle made with the x axis is 5pi/3.

    Calculate the x coordinate:

    cos 5pi/3 = x / 3

    x = 3 cos  5pi/3

    x = 1.5

    The y-coordinate:

    sin 5pi/3 = y / 3

    y = 3 sin 5pi/3

    y = -2.598.

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