https://padlet.com/ndawson5/2op76d5t8f8f Enter your noticings and wonderings on the page below! Just double click anywhere on the page to begin typing. en-us 2018-09-26 12:02:45 UTC 2018-09-26 13:22:30 UTC hello@padlet.com https://padlet.com/ndawson5/2op76d5t8f8f/wish/285977908 The cosine and sine are the coordinate points of each angle in the first quadrant.]]> 2018-09-26 12:42:49 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285977908 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978147 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]]> 2018-09-26 12:43:15 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978147 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978279 (sin,cos) are the coordinates for the first quadrant.]]> 2018-09-26 12:43:28 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978279 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978400 The sin is Y and the cosin is X]]> 2018-09-26 12:43:40 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978400 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978455 The denominator is 2 for all of sin/cos]]> 2018-09-26 12:43:46 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978455 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978477 30 and 60 degree angles have flipped coordinates ]]> 2018-09-26 12:43:49 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978477 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978603 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) 


]]> 2018-09-26 12:44:00 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978603 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978863 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]]> 2018-09-26 12:44:31 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978863 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978884 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]]> 2018-09-26 12:44:34 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285978884 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979219 2018-09-26 12:45:11 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979219 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979759 How it all works]]> 2018-09-26 12:46:15 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979759 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979844 All the denominators are 2]]> 2018-09-26 12:46:25 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979844 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979852 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 ]]> 2018-09-26 12:46:26 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979852 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979883 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 ]]> 2018-09-26 12:46:29 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979883 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979891 Sin=y 
Con=x]]> 2018-09-26 12:46:31 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979891 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979912 where's tangent represented within the Unit Circle?]]> 2018-09-26 12:46:33 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285979912 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980045 A triangle can’t have a(whole number)angle over 178 degrees, so what is the point of assigning coordinates to angles over that?]]> 2018-09-26 12:46:47 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980045 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980173

]]> 2018-09-26 12:47:02 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980173 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980200 Where is tan?]]> 2018-09-26 12:47:05 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980200 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980220 The ratios are the same]]> 2018-09-26 12:47:07 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980220 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980238 Whichever the last angle was on one quadrant is the first angle on the next quadrant. ]]> 2018-09-26 12:47:09 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980238 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980356 Where the heck is tangent and why is it not represented on the circle?

]]> 2018-09-26 12:47:23 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980356 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980370 45, 135,225, 315 are all the same ratio but different + or - ]]> 2018-09-26 12:47:25 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980370 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980663 I wonder if the swapped coordinates for the 30 60 90 works the same for other angles, so not including the 30 60 90]]> 2018-09-26 12:47:46 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980663 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980975 If you add the cosecant and the secant of 30 and 60 would any lines need to be added]]> 2018-09-26 12:48:24 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285980975 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285981586 Why isn't tangent appearing on the circle? ]]> 2018-09-26 12:49:38 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285981586 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285982637 All the denominators are 2 ]]> 2018-09-26 12:51:39 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285982637 ndawson5 https://padlet.com/ndawson5/2op76d5t8f8f/wish/285984031 2018-09-26 12:54:23 UTC https://padlet.com/ndawson5/2op76d5t8f8f/wish/285984031