Green's Theorem

In the following exercise you must explain with detail how to use the Green's Theorem to get the solution.

Find the area bounded by the hypocycloid $r(t)=(4cos(t)+ cos(4t), 4sin(t) - sin(4t))$

  • Mathe Mathe

    Hi, there must be an error in your question because the second component of the curve simplifies into 3sin(t)

    • Mathe Mathe

      For the curve to be a hypocycloid, r(t) must be (4cos(t)+cos(4t),4sin(t)−sin(4t))

  • You're right it was a typo mistake.


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Mathe Mathe
The answer is accepted.
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