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Pi Math with pi/6! Potentially Interesting.

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Pi Math with pi/6! Potentially Interesting.

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pi/6 + 4pi/6 = 5pi/6
5pi/6 + 2pi/6 = 7pi/6
7pi/6 + 4pi/6 = 11pi/6
11pi/6 + 2pi/6 = 13pi/6 (or pi/6; 13-12=1)
13pi/6 + 4pi/6 = 17pi/6 (or 5pi/6; 17-12=1)

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Cosines numerator goes from 3,2,1 from the top and bottom to the middle of the circle. Sines numerator goes from 1,2,3 from the top and bottom to the middle of the circle.

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When the radicals/degrees turn into a negative it will reflect over the x-axis from the positive one

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Anything with the radian denominator of 4, will have a tangent value of 1 

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Anything with the radian denominator of 4, will have a tangent value of 1 

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The denominators for sine and cosine are always 2

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Anything with the radian denominator of 3 is going to have a tangent value of square root of 3 

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Anything with the radian denominator of 3 is going to have a tangent value of square root of 3 

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After 45 degrees, you mirror the x- and y-value!

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After 45 degrees, you mirror the x- and y-value!

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As in, 45 + 15 = 60 has (1/2, sqrt3/2), while 45 - 15 = 60 has (sqrt3/2, 1/2). At 45, it's (sqrt2/2, sqrt2/2)!

Also, the anonymous is mine.

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Only Cosine is postive

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Only Tangent is postive

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Only Sine is positive

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Everything is positive

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60 degrees is 30 degrees's x- and y-value flipped!

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60 degrees is 30 degrees's x- and y-value flipped!

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When the denominator is 3 it will be close to the y-axis

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At 45 degrees, it is always square root of 2 over 2 for the x and y.

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When the denominator is 6, it's always going to be close to the x-axis

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When the denominator is 6, it's always going to be close to the x-axis