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Math Help - How would we find limits for finding the area between two curves?[Polar]

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    How would we find limits for finding the area between two curves?[Polar]

    Find the area that lies inside the curves:
    r=sinθ and r=cosθ

    I need help figuring out the point of intersection on those two curves. I have set sinθ = cosθ but I don't know where to go from there.

    Please help me on this!
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  2. #2
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by florx View Post
    Find the area that lies inside the curves:
    r=sinθ and r=cosθ

    I need help figuring out the point of intersection on those two curves. I have set sinθ = cosθ but I don't know where to go from there.

    Please help me on this!
    sinθ=cosθ at θ=pi/4
    then integrate cosθ-sinθ from 0 to pi/4. this will give you the area between the two curves in the first quadrant.
    a rough sketch of the two curves will help understand why the above is being done.
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