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Math Help - Find the curvature of the polar curve at the given angles (is the book wrong?)

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    s3a
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    Find the curvature of the polar curve at the given angles (is the book wrong?)

    The question, answer, solution and my work are attached.

    At θ = π/4, I get K = 2/sqrt(2) = 2sqrt(2)/2 != sqrt(2)/4 (which is what the book says it should be).

    I feel like I'm not making a mistake but I am very sleepy so I'm really unsure of myself.

    If anyone could tell me whether I'm right or wrong and, if I am wrong, explain how to do it correctly, I would greatly appreciate it!

    Thanks in advance!
    Attached Thumbnails Attached Thumbnails Find the curvature of the polar curve at the given angles (is the book wrong?)-q19.jpg   Find the curvature of the polar curve at the given angles (is the book wrong?)-mywork.jpg  
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