I-,dd   1Courier New1Symbol New1Courier New1Courier NewTimes New RomanTimes New Roman1Courier New1Courier New1Courier New1Courier NewQ0Q0Q0Q0{ d< p {2@@@8?h!??@@@@@@033333??@^ߛOw?HzG???b <LG@B <DZP`i@@?@ @@@P?@@2 2??@$$$@???????@?඗䷗踗칗l裗sin(x) y = sin(x)QQ2???$$$o)FRf@???????DH@''(X00psin(p)seg (0,0) to (p,sin(p))2???$$$FRf@_&pnn1 f@o)??????? t0x1|2XC\D`EdF蟘8wNQpsin(p)p+1/sqrt(1+cos(p)^2)sin(p)+cos(p)/sqrt(1+cos(p)^2)Hseg (p,sin(p)) to (p+1/sqrt(1+cos(p)^2),sin(p)+cos(p)/sqrt(1+cos(p)^2))2???$$$FRf@o)W@_i????????8̘<͘@ΘDϘHИLјPҘšۘ(psin(p)/p-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(p)^2)/sin(p)+abs(-sin(p))/sin(-p)*1/sqrt(1+cos(p)^2)rseg (p,sin(p)) to (p-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(p)^2),sin(p)+abs(-sin(p))/sin(-p)*1/sqrt(1+cos(p)^2))2???$$$FRf@o)@UL???????? YZ[\] ^$_Лśpsin(p)Lp-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p))Lsin(p)+abs(-sin(p))/sin(-p)*1/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p))seg (p,sin(p)) to (p-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p)),sin(p)+abs(-sin(p))/sin(-p)*1/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p)))2??h!@$$$Uy@???????ptx|x `ؚpp-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p))+(1+cos(p)^2)^1.5/abs(sin(p))*cos(t)psin(p)+abs(-sin(p))/sin(-p)*1/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p))+(1+cos(p)^2)^1.5/abs(sin(p))*sin(t)(x,y) = (p-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p))+(1+cos(p)^2)^1.5/abs(sin(p))*cos(t),sin(p)+abs(-sin(p))/sin(-p)*1/sqrt(1+cos(p)^2)*(1+cos(p)^2)^1.5/abs(sin(p))+(1+cos(p)^2)^1.5/abs(sin(p))*sin(t)); 0.000000 <= t <= 6.22??h!@$$$h!Xy@??????? НTԘ\VTH|ئ/X\şt+cos(t)/sin(t)*(1+cos(t)^2)-2cos(t)^2/sin(t)U(x,y) = (t+cos(t)/sin(t)*(1+cos(t)^2),-2cos(t)^2/sin(t)); -6.283185 <= t <= 6.283190xyz˖JXT@FRf@@@@@@@@@@@@@@@@@˖@@@@@@@@@@@D tD tD tUnit Tangent Vector is Purple6QQ`6Q @p@Times New Roman@ĠOsculating Circle is Lime Green@@@?@@P@Times New RomanĠThe Evolute of y = sin(x) is PinktDŠNQ@ ??Times New Romany = sin(x)aa@I3@1Courier New )seg (0,0) to (p,sin(p))aa@mg@1Courier Newp˘seg (p,sin(p)) to (p+1/sqrt(1+cos(p)^2),sin(p)+cos(p)/sqrt(1aa@=ọ'|@1Courier New^seg (p,sin(p)) to (p-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(aa@=ọ'|W@1Courier New4seg (p,sin(p)) to (p-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos( aa@=ọ'|@1Courier New4(x,y) = (p-abs(-sin(p))/sin(-p)*cos(p)/sqrt(1+cos(p)^2)*(1+c aa@ໍ'|@1Courier NewP(x,y) = (t+cos(t)/sin(t)*(1+cos(t)^2),-2cos(t)^2/sin(t)); -6aa@ໍ'|w@1Courier New