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Integral Proof (Posted on 2015-01-26)

Prove that

tan⁶(pi/9) + tan⁶(2pi/9) + tan⁶(4pi/9)

is an integer, and find the value of this integer.

No Solution Yet Submitted by Danish Ahmed Khan

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no proof, but the integer is... (spoiler)

| Comment 1 of 3

33272.9999999999..., or 33273

from

DefDbl A-Z

Dim crlf$

Function mform$(x, t$)

a$ = Format$(x, t$)

If Len(a$) < Len(t$) Then a$ = Space$(Len(t$) - Len(a$)) & a$

mform$ = a$

End Function

Private Sub Form_Load()

Text1.Text = ""

crlf$ = Chr(13) + Chr(10)

Form1.Visible = True

DoEvents

pi = Atn(1) * 4

v = Tan(pi / 9) ^ 6 + Tan(2 * pi / 9) ^ 6 + Tan(4 * pi / 9) ^ 6

Text1.Text = Text1.Text & v & crlf

Text1.Text = Text1.Text & " done"

End Sub

Posted by Charlie on 2015-01-26 13:24:51

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