perplexus.info :: Just Math : Floor Fulfilment

Floor Fulfilment (Posted on 2014-12-17)

Given that

    Σ_{m = 1 to 44} cos m^o
y = ---------------
    Σ_{m = 1 to 44} sin m^o


Find the value of floor(100y)

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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computer evaluation

| Comment 1 of 2

pi = Atn(1) * 4

dr = pi / 180#

num = 0: den = 0

For m = 1 To 44

num = num + Cos(m * dr)

For m = 1 To 44

den = den + Sin(m * dr)

Text1.Text = Text1.Text & num / den & crlf

finds y ~= 2.41421356237309, which happens to be 1 + sqrt(2).

So floor(100*y) = 241.

Posted by Charlie on 2014-12-17 13:44:55

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