Euler said that the harmonic series......with an s of 2......squared........would home in on 1/6 pi squared................

1 / (6 * (pi squared)) = 

0.01688686394

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Trigonometry Angles--Pi/6 -- from Wolfram MathWorld

mathworld.wolfram.com › Geometry › Trigonometry › Trigonometric Identities

by EW Weisstein - ‎2003 - ‎Cited by 4 - ‎Related articles

Construction of the angle pi/6=30 degrees produces a 30-60-90 triangle, which has angles theta=pi/6 and 2theta=pi/3 . From the above diagram, write y=sintheta  ...

Pi Squared -- from Wolfram MathWorld

mathworld.wolfram.com › ... › Pi › Discrete Mathematics › Experimental Mathematics

Pi Squared. DOWNLOAD Mathematica Notebook. There is a series of BBP-type formulas for pi^2 in powers of (-1)^k ,. pi^2, = 12sum_(k=0)^(infty)((-1)^. (1).

Basel problem - Wikipedia

https://en.wikipedia.org/wiki/Basel_problem

The Basel problem is a problem in mathematical analysis with relevance to number theory, first ... PI constant.svg. Uses .... −1/6. These two coefficients must be equal; thus,. − 1 6 = − 1 π 2 ∑ n = 1 ∞ 1 n 2 . ... Multiplying through both sides of this equation by −π² gives the sum of the reciprocals of the positive square integers.

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Sine Function and Unit Circle - Math Forum - Ask Dr. Math

mathforum.org/library/drmath/view/63861.html

Aug 15, 2003 - 2 posts

Solve for x, where x is an integer: sin(pi/x) = square root2/2.

Trigonometry: Important Angles

wwwf.imperial.ac.uk/metric/metric_public/trigonometry/.../important_angles.html

Figure 1: The 'set-square triangle'. The angles 0, 6, 4, 3 and 2 (or 0, 30, 45, 60 and 90 degrees) have sines, cosines and tangents that are worth remembering.

PI - Math.com

www.math.com/tables/constants/pi.htm

Pi is a name given to the ratio of the circumference of a circle to the diameter. ... This discovery proved that you can't "square a circle", which was a problem that occupied many ... B0=1 B1=-1/2 B2=1/6B4=-1/30 B6=1/42 B8=-1/30 B10=5/66.

MathNotations: Pi-Squared Over 6: The Algebraic Genius of Euler

mathnotations.blogspot.com/2010/03/pi-squared-over-6-algebraic-genius-of.html

Mar 25, 2010 - If interested in purchasing my NEW 2012 Math Challenge Problem/Quiz book, click on BUY NOW at top of right sidebar. 175 problems divided ...