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Math Question?

Show that the curve of the equation=3/(2sinθ-cosθ) is a straight line

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TYPO:

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equation r=3/(2sinθ-cosθ)

1 Answer

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  • Mewtwo
    Lv 5
    2 years ago
    Favorite Answer

    If r = =3 / (2 sin θ - cos θ), then

    r(2 sin θ - cos θ) = 3

    2 (r sin θ) - r cos θ = 3.

    But, x = r cos θ and y = r sin θ. Thus, we have the above equation is just 2y - x = 3, which is the equation of a straight line with slope 1/2 and y intercept 3.

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