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All the denominators are 2

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Why isn't tangent appearing on the circle?

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If you add the cosecant and the secant of 30 and 60 would any lines need to be added

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I wonder if the swapped coordinates for the 30 60 90 works the same for other angles, so not including the 30 60 90

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Where the heck is tangent and why is it not represented on the circle?

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45, 135,225, 315 are all the same ratio but different + or -

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Where is tan?

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Whichever the last angle was on one quadrant is the first angle on the next quadrant.

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The ratios are the same

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A triangle can’t have a(whole number)angle over 178 degrees, so what is the point of assigning coordinates to angles over that?

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I notice that Sin60 and Cos30 = (1/2, sq. rt 3/2)

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I notice that Sin60 and Cos30 = (1/2, sq. rt 3/2)

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where's tangent represented within the Unit Circle?

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for the 30 60 90 triangle, when we used the 60 side instead of the 30 side on the x axis, the coordinate numbers switched

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Sin=y
Con=x

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They are always 30 degrees away from the x-axis, or 45 or 60. So you would see that if they are both either 30, 45, or 60 degrees from the x-axis they must be the same

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All the denominators are 2

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How it all works

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I noticed that there was no root 3 over 3 ratios in the circle 

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I noticed that there was no root 3 over 3 ratios in the circle 

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ratios are the same in the circle as they are on the yellow reference sheet, except some are negative because they are on a grid

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The cos of a triangle in the chart is the same as the x value of that same triangle on the circle. The sin of a triangle in the chart is the same as the y value of that same triangle on the circle

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The cosine and sine are the coordinate points of each angle in the first quadrant.

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I noticed all have a denominator of 2, and every coordinate pair has a radical. (Of course excluding:(1,0), (0,1), (-1.0) and (0,-1)

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The denominator is 2 for all of sin/cos

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The sin is Y and the cosin is X

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30 and 60 degree angles have flipped coordinates

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(sin,cos) are the coordinates for the first quadrant.

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The sin ratio for 30, 45, and 60 degree angles in right triangles is the x coordinate on the circle, and the cos ratio is the y coordinate