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Anonymous asked in Education & ReferenceHomework Help · 9 years ago

Convert from Polar to Cartesian Form Please?

x^2/36 + y^2/100 = 1

How do you convert this equation to Polar Form?

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  • 9 years ago
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    x = r cos Θ and y = r sin Θ so make those replacements, then solve for r

    r^2 cos^2 Θ/36 + r^2 sin^2 Θ / 100 = 1

    multiply by 3600

    100r^2 cos^2 Θ + 36 r^2 sin^2 Θ = 3600

    factor out r^2 then divide by the other factor and √ both sides

    r^2 (100 cos^2 Θ + 36 sin^2 Θ) = 3600

    r^2 = 3600 / (100 cos^2 Θ + 36 sin^2 Θ)

    r = 60 / √(100 cos^2 Θ + 36 sin^2 Θ)

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