3 2p capm0  8Daniel Scher, Fall 94 with modifications by Bill FinzererA  &((EEJEEJE>Et0 @@1 5IiWhat number when squared equals -1? Is this the only number? What is the geometric result of multiplying a number by i? By -i? Can you find a number which, when squared, equals i?b bObO CFCW\ sE EEE F F0E>CBc\ha rE EEE F F0E>CB AFtems% AsAutomated TasksBil Fs Remote ChooserControaCC W"\'A` ECB VF  mCCCB?cjhoA` CCB b@a  jCCCB?B$ 61E EEE F F0E>CC Kh% c3CBA`?5%F?5%FWPtmA` c2CBA`?5%F?5%F0 c1CCB?5%F?5%F N N #!2 TCC@Z '2a m7 s: ' w00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6Coordinate(Point s): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*0 #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@ch! FCB"f  Y m3 r: ' w00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6Coordinate(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*0 #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@pVu[  DCޘB A N I" 5 0iE EEE F F0E>CCC4? =pN " 4 0x<E1<0EBCDC?ffffff.A3F  iE EEE F F0E>CB@   -1E EEE F F0E>CXC  A F  -iE EEE F F0E>CC  2}? m10]   {!:T}{l:s} = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6+ i sin te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@2@?q m9+oq-no;no=oq>qGqHoq  {!:T}{l:s} = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6(cos in te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@3@D m8fffffff33fffffff̙ffffff33  r{l:s} = } = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6s = in te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@ej  FCB ]!b&?  FCNB% "}/ m60/pH\lJ|  {!:T}{l:r} = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6+ i sin te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@!?. m5  {!:T}{l:r} = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6(cos in te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@"/CUU m4HH0/\  r{l:r} = } = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6r = in te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@kPpU  DC(Bm q]vb?  DCk^B D@Q m15Uhqoqno no"q  (cos + (cos = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6(cos in te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@DQDo" m14q*+o+q++-n-o--;n;o;;=o=q==q  r{!:*}s = s = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6r s = n te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@D~Qo" m13q*+o+q++-n-o--;n;o;;=o=q==q  (cos + (cos = 00E#40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6+ i sin te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@Vj  oCBCB?Vb&?  nCBCNB%?bOpa  lC(BmCB? b[vb  k0Td*i/ ?  ECBCk^B?!e pI m170.UUUUl[  (r s){!:*}sin{(:(+ i sin)} = #40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6Im (r s)te(Point r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@8#$W b] m16UU^L  (r s){!:*}cos{(:(cos} = )} = #40-4>051\bbJ EL2َ8TEEEtE2aat 0{atE@4@6@6@6 Real (r s) = int r): @2 dEB {*A*A*A!H  E0;@?0-nEt'''};#`*) #0 -D5` 1(=0`1#=x1#=xE<EV l51@ÐE,00.@ Et#0-0Ef(f}@l@@m6@l||b@X@k nn@kP@7#"tems ;GsAutomated TasksBil Fs Remote ChooserControaC+C![ )*"'A` GAutomated TasksBil Fs Remote ChooserControaC+C![ +F  pCCC+C![?+%18 c4  qC+C![A`?5%F?5%F+,"'@3 H^40 0pCC, -.!&  H^40 0pCMC&] /+$?  H^40 0pCC} /+&  rCdBCqtB_~}~}A_'@@CMC&]C+C![?+0$  qC+C![CC}?1+