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17 November, 13:04

Convert the polar equation to rectangular form:

r = 2 / [1 + sin (theta) ]

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  1. 17 November, 13:09
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    R = 2 / (1 + sin θ)

    Using the following relations:

    R = sqrt (x^2 + y^2)

    sin θ = y/R

    R = 2 / (1 + y/R)

    R (1 + y/R) = 2

    R + y = 2

    R = 2 - y

    sqrt (x^2 + y^2) = 2 - y

    Squaring both sides:

    x^2 + y^2 = (2 - y) ^2

    x^2 + y^2 = 4 - 4y + y^2

    x^2 + 4y - 4
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