{"version":8,"graph":{"viewport":{"xmin":-6.907868077950857,"ymin":-4.620836428208768,"xmax":8.785430613396263,"ymax":6.253420469341967}},"randomSeed":"5de593d2b5df00935d0f7f3e765172a5","expressions":{"list":[{"type":"text","id":"28","text":"Based on CORDIC demonstration ( https://www.desmos.com/calculator/lplmlslwxt )"},{"type":"text","id":"3","text":"Circle"},{"type":"expression","id":"1","color":"#c74440","latex":"x^{2}+y^{2}=1"},{"type":"text","id":"7","text":"Angle (the one selected is quite large, since that converges more slowly)"},{"type":"expression","id":"8","color":"#000000","latex":"a=5.4","slider":{"hardMin":true,"hardMax":true,"playDirection":-1,"min":"0","max":"2\\pi"}},{"type":"text","id":"5","text":"True radius"},{"type":"expression","id":"9","color":"#6042a6","latex":"-x\\tan a+y=0\\left\\{x\\cos a>0\\right\\}\\left\\{x^{2}+y^{2}<1\\right\\}"},{"type":"text","id":"13","text":"Iteration count"},{"type":"expression","id":"14","color":"#000000","latex":"s=10","slider":{"hardMin":true,"hardMax":true,"loopMode":"LOOP_FORWARD","isPlaying":true,"min":"0","step":"1"}},{"type":"text","id":"16","text":"Taylor-series approximation (cosine, sine)"},{"type":"expression","id":"17","color":"#2d70b3","latex":"t_{c}=\\sum_{n=0}^{s}\\left(\\frac{a^{\\left(2n\\right)}}{\\left(-1\\right)^{n}\\left(2n\\right)!}\\right)"},{"type":"expression","id":"18","color":"#388c46","latex":"t_{s}=\\sum_{n=0}^{s}\\left(\\frac{a^{\\left(2n+1\\right)}}{\\left(-1\\right)^{n}\\left(2n+1\\right)!}\\right)"},{"type":"text","id":"21","text":"Taylor-approximated radius"},{"type":"expression","id":"22","color":"#2d70b3","latex":"-x\\left(\\frac{t_{s}}{t_{c}}\\right)+y=0\\left\\{xt_{c}>0\\right\\}\\left\\{\\left|x\\right|<\\left|t_{c}\\right|\\right\\}\\left\\{\\left|y\\right|<\\left|t_{s}\\right|\\right\\}"},{"type":"text","id":"25","text":"Display text"},{"type":"expression","id":"26","color":"#000000","latex":"\\left(3,5\\right)","showLabel":true,"label":"Vector position: (${t_c}, ${t_s})","hidden":true},{"type":"expression","id":"29","color":"#000000","latex":"\\left(3,3\\right)","showLabel":true,"label":"Current step: ${s}","hidden":true}]}}