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Monday, February 7, 2011

Patterns of PI

When plotting graphs using radians I often found it tedious to have to try and memorize the formulas for degrees based on Pi.  However, it is not necessary to do so, if you can understand the fundamental concepts and are receptive to the continuing patterns throughout, charting graphs based on PI can be easy.

Watch the patterns !

π/2 , π, 3π/2, 2π, 5π/2, 3π, 7π/2, 4π, 9π/2, 5π, 11π/2, 6π, 13π/2, 7π, 15π/2, 8π

90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440 respectively. (degrees)

 Now let's incorporate that pattern into a similar pattern, this one including the special angles 30 and 60.

π/6, π/3, π/2, 2π/3, 5π/6, π, 7π/6, 4π/3, 3π/2, 5π/3, 11π/6, 2π, 13π/6, 7π/3, 5π/2, 8π/3, 17π/6, 3π

30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540 respectively. (degrees)

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