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24 October, 05:01

Which set of rectangular coordinates describes the same location as the polar coordinates 3sqrt2 5pi/4

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  1. 24 October, 05:12
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    Hello:

    note:

    rectangular coordinates (x, y)

    the polar coordinates (r cosθ, r sin θ)

    r = 3√2 and θ = 5 π / 4

    x = r cosθ = 3√2 cos (5π/4) = 3√2 cos (π + π/4) = 3√2 (-cos (π/4))

    x = (3√2) (-√2/2) = - 3

    y = r sinθ = 3√2 sin (5π/4) = 3√2 sin (π + π/4) = 3√2 (-sin (π/4)) = - 3

    the rectangular coordinates (-3, - 3)
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