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If you think that the formula A = (2 * sin(t)) * (2 * cos(t)) "doesn't take into account the equation of a circle" then are you saying this formula is incorrect? That this function will not yield the area of the rectangle?
I'm divided as to whether I should explain this to you or let you work it out for yourself. There's something to be said for figuring out one's own mistake (I've learned a lot through this process!). On the other hand, if it doesn't occur to you I will end up coming back here and explaining it all to you, anyways...
What do the rest of you think?
I'll let you think this one over but I'll conjecture as to "why you had those exponents in the area equation." It's because you were desperately thinking you had to incorporate the cartesian equation of a circle in the area formula--somehow, anyhow...
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