I7>=,dd +(I)   1Courier New1Symbol New1Courier New1Courier NewTimesr NewTimes New Roman1Courier New1Courier New1Courier New1Courier NewXTyVHXTyVHXTyVHXTyVH?/ <```@@@?~~~~~ԱޱޱԱ޿޿ph (((Pdd{  d< p {2 @@@???@@@@@@033333??@^ߛOw?̌???v<Ic@ <VH@@?@ @@@?`|xH|@@@@@@@@@@dddddddddddddddddddddddddddddddddddddddd 2??@$$$@???????T#8cosh(t)sinh(t)-8;83X3X2??@$$$@??????? $(, 0!4"8##C1x| -cosh(t)sinh(t)-8;82??h!@$$$h!@???????  .T+U\U0W|10.0;2pi2???$$$k#7Y??????? 2 2?<$@%D&H'L(P)T*<4\99L00ba(a)a2??@$$$7Y?k#????????7Y?k# $(,0_`ba(a)api/42???$$$f0f0f0@f0@??????f0@f0@f0f0 X+\,`-d.h/l0p18X}X~}1-102???$$$f0f0f0@f0@??????f0f0@f0@f0 48<@DHLp: YX1102??@$$$Ua|\?!"[????????Ua|\?!"[t2x3|45678tp8(sqrt((ba(a)+a)/(ba(a)-a))+sqrt((ba(a)-a)/(ba(a)+a)))/28(sqrt((ba(a)+a)/(ba(a)-a))-sqrt((ba(a)-a)/(ba(a)+a)))/2pi/42??h!@$$$h!@???????PTX\`dhbjj-cosh(ln(sqrt((ba(a)+a)/(ba(a)-a))))+c*cos(t)-sinh(ln(sqrt((ba(a)+a)/(ba(a)-a))))+c*sin(t)0.0;2pi2???$$$7Y?!"[Ta|\?k#??????9:;<=>?hl@|2ba(a)a$cosh(ln(sqrt((ba(a)+a)/(ba(a)-a))))$sinh(ln(sqrt((ba(a)+a)/(ba(a)-a))))xyzd3k#Cl?JXT@@4)?@?@@@@@@@@@@@@@@@@@@@@@@@ < < <sqrt(1-x^2)ba3X( Scale Factor = s rt( (b-a)/(b+a) ) + sqrt( (b+a)/(b-a) )/(2L0 " _Z̺2T/tTimes New Roman $= sqrt( ( (b+a)/(b-a) + (b-a)/(b+a) )/2 ) )/(2a)a) )/())/2//J+@_Z̺7aTimes New Roman b = sqrt(1 - a^2)a) ) + sqrt( (b+a)/(b-a) )/(2b)|Wp$8#*Ӧ?1t?Times New Roman tan(theta) =a/b = tanh(t) (b+a)/(b-a) )/(2b)/(ba(a)+a)))/2?|饗^z@?V΍5ޜ?Times New Roman Lt = ln ( sqrt( (b + a)/(b-a) ) )(b-a) )/(2b)W$@ $@l&l@t@?y?Times New Roman -1/sqrt(2) < a < 1/sqrt(a)) ) )(b+a) )/(2b)/(ba(a)+a)))/2c1@8N889?A ~?Times New Roman Point (b , a) on the Unit Circle with standard angle thetaW\q1c1@Ytƒ@G@C@Times New Romantthe point (sb , sa) is on the Unit Hyperbola)/(ba(a)+a)))/2c1?\p\@lD?4UrX?Times New Roman ,sb = cosh(t)a) on the Unit Hyperbola))),sinh(ln(sqrt((ba(a)p 'p@r)@ ?6eN=?\?Times New Roman  sa = sinh(t)s3\FSYA!a4g<TW;찃@@(OJ?!?Times New Roman  Scale the vector from origin to point (b, a) by ssqrt((ba(a)tM7t?|7|@l;??Times New Roman  (x,y) = (cosh(t),sinh(t)); -8 <= t <= 8jW\q@DwočB1Courier New (x,y) = (-cosh(t),sinh(t)); -8 <= t <= 8hyguYgu@ e)H0@1Courier Newr = 1; 0.0 <= t <= 2pi3X0`Zi0`ZikB> @@me@1Courier New |segment (0,0)-->(ba(a),a)3X\Calculus3\Y*0`Zi0`ZiVV@$+f?1Courier New 4(x,y) = (ba(a),a)0`Zi0`ZiW2@I1w?1Courier New (1)x + (-1)y = 0nh(t)); -8 <$3X0 ,?1c1@`ky8?