Trigonometry Angles Pi 8

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Trigonometry Angles--Pi/8 -- from Wolfram MathWorld

http://mathworld.wolfram.com/TrigonometryAnglesPi8.html

Trigonometry Angles--Pi/8

(1)

(2) (3) (4) (5)

(6)

(7)

(8)

(9)

(10) (11) (12) (13)

(14)

Now, checking to see if the square root can be simplified gives (15) which is not a perfect square, so the above expression cannot be simplified. Similarly, (16)

(17)

(18)

(19) But (20) is a perfect square, so we can find (21) Rewrite the above as (22)

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9/20/2007 12:53 PM

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