URGENT WILL GIVE BRAINLIEST Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.

Question

URGENT WILL GIVE BRAINLIEST

Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.

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2 days 2021-10-11T00:23:23+00:00 1 Answer 0

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  1. Charlotte
    0
    2021-10-11T00:25:01+00:00

    Answer:

    (5sqrt(2), 45 deg)

    (-5sqrt(2), 225 deg)

    Step-by-step explanation:

    (x,y)=(5,5)

    So theta=arctan(5/5)=arctan(1)=45 degrees

    Now r! r=sqrt(x^2+y^2)=sqrt(5^2+5^2)=sqrt(50)=sqrt(25)sqrt(2)=5sqrt(2)

    So one polar point is (5sqrt(2) , 45 degrees)

    Now if we do 180+45=225 degrees… this puts us in the 3rd quadrant… to get back to quadrant 1 we just take the opposite of our r

    so another point is (-5sqrt(2) , 225 degrees)

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