ZXTape! 0Created with Ramsoft MakeTZXtrig 2  1:1:1::6;21,21;"Please wait";20,0;:1:"sc":1:20,0;:"gr""a":20,0;:"t2" ~sc @B???????????|><<"BC@@8D||8~$$B~PP 8\^~\,0:23613=\+1+256*23614>\,0:1:1:6;21,0;" Stop tape & press any key ":9 :9003+# dy$=" ":ind=0:o$=" ":m$=o$+" ":n$=o$+" ":z$=n$+" " #cl=1:h=0:h1=0 <2:9 :1900l:i=25:i,9 ;o$(14):i:4,14;"menu";3,10 ;"Trigonometry":72H,160:112p,0:0,-32 :-112p,0:0,32 :p;8,1;"1. Graphs of SIN,COS,TAN";9 ,1;"2. Plan and elevation";10 ,1;"3. Three-dimensional problems";11 ,1;"4. Latitude and longitude" =p;12 ,1;"5. Identities and formulae";13 ,1;"6. Typical 'O' level questions";7;17,9 ;" Press 1 to 6 ";3;21,7;"  Rose Software " ?l$=:l$<"1"l$>"6"63? B9qu=0:wr=0:h=0:u=0:v=0 E!(2*l$-1)*100d d/n=17:s=0:ind=1:104h gs=(*3) hW5000:b;0,8;"REVISION EXERCISE":5021:5003+3*s jp:13 ,1;"This is the";14,1;"graph of:-";16,1;"1. y=x";17,1;"2. y=x";18,1;"3. y=x" m25024:q$=s+11850::115s p$1800:5042:1860D s%ind=1s=s+1:104h v60<+43+*(q$="y") ,5n=17:5000:b;0,24;"PLAN" /24,136:496:32 ,16:80P,0:-32 ,-16:0,-40(:32 ,20:0,36$ 2490:p:15,1;"The PLAN of an object is the";16,1;"view seen from directly above":21,8;:9001)# 521,0;z$:152,136:80P,0:0,-30:-80P,0:0,30:15,1;"The plan of this cuboid is a";16,0;z$;16,11 ;"rectangle":21,8;:9001)# ;Li=19 :7:i,18;o$:i:1:490:0 >493:b;0,17;"FRONT ELEVATION";p;15,0;"The FRONT ELEVATION of an object";16,0;"is the view seen from the front";17,5;"(in a vertical plane)":21,8;:9001)# Ap:15,23;"this ";16,0;"cuboid is another rectangle ";17,0;z$;21,0;z$:160,136:496:21,8;:9001)# DP1:496:493:0:b;0,17;" END ELEVATION" G15,0;" The END ELEVATION is the view";16,0;z$;16,7;"seen from the end";17,5;"(in a vertical plane)":132,124|:-10 ,0:3,3:-3,-3:3,-3 J184,140:480,0:0,-40(:-480,0:0,40(:21,8;:9001)# Mind=1:s=4 Ph5000:b;0,7;"PLAN";0,16;"ELEVATION(any)":72H,124|,38& S 400+s Vp:13 ,1;"This object is a:-";15,2;"1. sphere";16,2;"2. cone";17,2;"3. pyramid";18,2;"4. cylinder";20,1;"Press 1 to 4" Y&q$=:q$=""q$<"1"q$>"4"345Y \X13 ,0;z$;20,1;"Your answer:";q$:q$=s1850::354b _f21,1;"Correct ans:";s:.5,-10 :1.5@,-20:v=v+1:1860D bJs=s+1-4*(s>3):s=s+(s=3):s=2ind=0 e336P-276*(q$="n")  172,124|,38&: P140,90Z:40(,68D:40(,-68D:-80P,0: "144,144:496: _88X,164:0,-8:-3,3:89Y,156:3,3: ^480,84T:10 ,5:0,-3:568,89Y:-3,0: L80P,0:0,-40(:-80P,0:0,40(: Nn=8:690:b;0,0;"ANGLE BETWEEN A LINE AND A PLANE" )108l,152:44,,-44, 5,9 ;"A";5,24;"B";10 ,6;"D";10 ,20;"C";2,12 ;"R";7,19;"S" ip:15,7;"The line RS meets";16,6;"the plane ABCD at S":m=8:9000(# 15,2;"In order to find the angle"," between the line and the"," plane,drop the perpendicular"," RN from R onto the plane" 7;8,13 ;"N":108l,152:0,-40(:44,,-4:110n,116t:2,0:0,-3:9000(#  142,104h:0,9 :-2,-2:2,2:2,-2:15,2;" The angle between the line"," and the plane is RSN ",z$,z$:9000(# C690:b;0,0;" THE ANGLE BETWEEN TWO PLANES " N568,96`:16,568:104h,0:-16,-568 1:i=0248:59;+i,99c+i:i:i=480P12 :86V+i,126~:87W+i,126~:i:0 p:15,1;"Choose any point P on the line";16,1;"AB where the two planes meet";7;10 ,6;"A";10 ,20;"B";10 ,12 ;"P" !r9000(#:15,1;"On each plane draw a line ";16,1;"perpendicular to AB through P" $116t,152:-16,-568:130,126~:-30,-30:1:i=4248:102f+i,98b+i:i:0 'l96`,96`:0,4:4,0:105i,96`:4,4:-5,0 *9000(#:107k,116t:1,-12 ,-/3:15,0;z$;z$;15,5;"The angle between";16,5;"the planes is XPY";7;1;2,14;"X";5,16;"Y":9000(# - ind=1 0w$="":696 ?zi=((*3)+1)*4:AB=i:AC=i+1+(i=8):BC=(AC^2-AB^2):PC=(*3)+i+1 @Ha$=((((((AC/2/PC))*180/)*10 +.5))/10 ) BA10 ,13 ;AB;8,23;BC;3,20;PC D,p$=" Angle between PA and plane ABCD =?" E 688 H(685:q$="h"597U+3*h N 21004 Q3wr=1:k=-3:w$"y"610b+(w$="") R'j=1521:j,0;z$:j Tk=k+3:600X+k WO9000(#:j=18:7;j,0;o$(8):j:596T Xv568,96`:134,30:160,96`:-74J,30:123{,111o:0,40( Yp$=p$+(" (Value of PAO)")add=0:add=1:13 ,0;p$;7;8,15;"O":584H+15*(wr=1) [693:7;1;7,6;"B";2,6;"C";7,3;AB;4,7;BC;4,3-(AC>9 );AC \x17,9 ;"AO=AC/2=";AC/2:p$=p$+(" AO="+(AC/2)+"cm")wr=0:584H+15*(wr=1) ^|693:7;7,6;"O";2,6;"P";8,2;AC/2;4,2-(PC>9 );PC _17,0;z$;z$;17,4;"COS PAO=";AC/2;"/";PC;18,1;"So use ACS(";AC/2;"/";PC;")":584H+15*(wr=1) a17,0;z$;z$;z$;z$;17,1;"COS PAO=AO/AP=";AC/2;"/";PC;18,2;"So PAO=";((((AC/2/PC))*180/*10 +.5))/10 ;"":9000(# b 1861E c"613e+17*(ind=1) e4+626r*(q$="y") vw$="":ind=0:696 y}i=((*3)+1)*4:PZ=i:PC=i+1+(i=8):CZ=(PC^2-PZ^2):BC=2*CZ:AB=BC+1 |Ha$=((((((AB/2/PZ))*180/)*10 +.5))/10 ) A10 ,13 ;AB;8,23;BC;3,20;PC 6p$=" Angle between plane BCP and plane ABCD =?"  688 (685:q$="h"657+3*h ?21004:wr=1:k=-3:w$"y"670+(w$="") 'j=1521:j,0;z$:j k=k+3:660+k O9000(#:j=18:7;j,0;o$(8):j:654 123{,111o:0,40(:524,-40(:-524,0:1:j=45028:123{+j,111o:124|+j,111o:j:0 q171,114r:3,3:3,-3:171,111o:-3,-3:3,0 p$=p$+(" (Value of PZO)")add=0:add=1:13 ,0;p$;7;8,15;"O";8,22;"Z":648+9 *(wr=1) 694:7;7,7;"C";7,1;;"Z";7,4;BC/2;4,5;PC;4,0+(PZ<10 );PZ r17,9 ;"PZ=";PZ;"cm.(Pythagoras)":p$=p$+(" PZ="+PZ+"cm")wr=0:648+9 *(wr=1) o694:7;7,7;"Z";7,1;"O";8,3;AB/2;4,5;PZ 17,0;z$;z$;17,4;"COS PZO=";AB/2;"/";PZ;18,1;"So use ACS(";AB/2;"/";PZ;")":648+9 *(wr=1) 17,0;z$;z$;z$;z$;17,1;"COS PZO=OZ/PZ=";AB/2;"/";PZ;18,2;"So PZO=";((((AB/2/PZ))*180/*10 +.5))/10 ;"":9000(#  1861E +ind=0:5600-556,*(q$="n") 1970:2016:q$="h"i=17:7;i,0;(o$(9 )l$"4"l$"6"l$"7"l$"8"):i:15,0;z$;z$;z$;z$  p:13 ,1;"This pyramid has a rectangular";14,1;"base ABCD where AB=";AB;"cm.BC=";BC;"cm";15,4;"and PA=PB=PC=PD=";PC;"cm.";17,0;p$: p5000:568,96`:104h,0:30,30:-104h,0:-30,-30: m9 ,120x:40(,0:0,32 :-40(,-32 :7;7,0;"A": n17,120x:40(,0:-40(,32 :0,-32 :7;2,1;"P": Gadd=0:wr=0:cl=1:h1=0:h=0:690 w568,96`:67C,557:67C,-25:160,96`:-37%,557:-37%,-25 ^1:i=4100d8:86V+i,126~:87W+i,126~:i:0 q2,15;"P";10 ,6;"A";10 ,20;"B";6,24;"C";6,9 ;"D": Hn=8:5000:b;0,10 ;"LENGTH OF ARC":890z p:15,1;"The whole circumference (2r)";16,5;"subtends an angle 360";17,9 ;"at the centre" 9000(#:893}:13 ,8;"So by comparison,";14,6;"angle is subtended";15,6;"by an arc AB of length";17,13 ;" 2r";18,16;"X";19,12 ;"360" 98b,28:20,0:164,124|:-34",0:34"*(5*/12 ),34"*(5*/12 ):7;1,17;"A";6,21;"B";5,17;"";3,16;"r" L9000(#:5000:b;0,8;"THE NAUTICAL MILE":890z ˮ164,124|:-34",0:0,1:33!,4:7;8,17;"1'";7,17;"^";5,21;"A";6,21;"B" p;14,1;"A nautical mile is the length";15,1;"of the arc AB of a great circle";16,1;"on the earth (eg:the equator)";17,1;"which subtends an angle of 1'";18,1;"(1 minute or 1/60 of a degree)" E9000(#:5000:890z:b;0,11 ;"LONGITUDE" j130,158:0,-68D,-/3:1,16;"N";1;11 ,16;"S" נp:15,1;"A great circle has its centre";16,2;"at the centre of the earth.";18,3;"NS is half a great circle":9000(# ڨ893}:15,3;"A meridian of LONGITUDE is";16,1;"half of a great circle passing";17,3;"through the N and S poles":9000(# 893}:15,0;"Lines of longitude are measured in degrees East or West of the prime meridian through Greenwich";7;3,22;"Through";4,22;"Greenwich" j174,144:-35#,0:3,3:-3,-3:3,-3:9000(# g893}:130,158:0,-68D,/3:7;1;4,14;"B\" 122z,116t:8,8:8,-8:127,121y:6,0,/4:7;10 ,8;"60":88X,92\:41),24,/3:-3,-1:3,1:1,-3 <16,3;"Point B has longitude 60W":9000(# 85000:890z:b;0,12 ;"LATITUDE" 97a,124|:67C,0,/3:i=/32*/3ͧ*.02{# =:130.5+66.8*i,66B+66.8*i:i 104h,144:524,0,/3:i=/32*/3ͧ*.03{u\:130.5+45-*i,107k+45-*i:i p:15,5;"A parallel of latitude";16,7;"is a small circle";17,5;"parallel to the equator" 9000(#:893}:15,0;"To find the latitude of point B draw the great circle through B";1;7;3,15;"B";4,14;"|" 18,1;"B lies on the line of latitude";19,13 ;"35N":480,124|,34":480,90Z:0,68D:15,124|:33!,0:-28,18:7:3,1;"B" 1;1,6;"N";11 ,6;"S";7,3;"35";6,4;"^":41),124|:1.5@,3,-/3:9000(#:ind=1  896 _3,16;"?";5,14;"Y":130,158:0,-68D,/3 lo=(*11 )+20:la=(*21)+502:p:13 ,9 ;"A yacht Y is in";14,1;"latitude ";la;"N., longitude ";lo;"W";15,1;"How far is the yacht from the North Pole measured along the meridian?" /p$=" Lat="+la+"N. Long="+lo+"W. Arc NY=?" @a$=(((90Z-la)/360h*2**6370+.5)) (685:q$="h"809)+3*h  21004 3wr=1:k=-3:w$"y"8215+(w$="")  'j=1521:j,0;z$:j #k=k+3:812,+k &9000(#:803# ,^891{:16,1;"Draw the great circle through Y";7;3,1;"Y" .!793+13 *(wr=1) /16,0;z$;15,7;"NOY=(90-";la;")=";90Z-la;"";17,0;"So length arc NY =(";90Z-la;"/360)X(2R)":793+13 *(wr=1) 215,0;z$;z$;z$;15,10 ;"Arc NY =";16,1;90Z-la;"/360 X 2 X X 6370 = ";a$;"km";19,0;z$;z$:9000(# 5 1861E 8!827;+3*(ind=1) ;4+826:*(q$="y") > 896 A6lo=(*31)+40(:la=(*16)+40( D130,158:0,-68D,21*/480:0,68D,21*/480:1;5,14;"P";5,18;"Q" G122z,139:8,4:8,-4:1:126~,141:134,141:5,16;"^";6,15;lo;"":0 Jp:13 ,1;"P and Q lie on line of latitude ";la;"N. What is the distance";15,1;"between them along the line of latitude if the difference in longitudes is ";lo;"?" M1p$="Lat="+la+"N. Diff.in Long="+lo+". PQ=?" PGa$=((lo/360h*2**6370*(la*/180)+.5)) Q(685:q$="h"857Y+3*h R 21004 T3wr=1:k=-3:w$"y"870f+(w$="") U'j=1521:j,0;z$:j Wk=k+3:860\+k X9000(#:855W \891{:15,1;"Draw the great circle through P and find radius PC(of latitude)";7;3,1;"P";3,7;"C" ]&20,142:28,0 ^ 849Q+7*(wr=1) _r=(((6370*(la*/180))*100d))/100d:15,0;z$;z$;z$;z$;15,2;"COS ";la;" = COS OPC = PC/6370";17,8;"So PC=";r;"km":849Q+7*(wr=1) b15,0;z$;z$;z$;z$;15,1;"Arc PQ = ";lo;"/360 X 2r";16,8;"= ";lo;"/360 X 2XX";r;17,8;"= ";a$;"km";19,0;z$;z$:9000(# find=0:1861E l4+768*(q$="y") z 130,124|,34": {480,124|,34":480,90Z:0,68D:15,124|:33!,0:-28,18:7:6,6;"O" |1,6;"N";7,3;la;"";6,4;"^";1;11 ,6;"S":41),124|:1.5@,3,-/3:p:q$="": })i=1521:i,0;z$:i: Awr=0:cl=1:h=0:w$="":5000:890z 1104h,144:524,0,/3 7;1,25;"Radius";2,27;"of";3,25;"earth";4,24;"=6370 km";1;1,16;"N";11 ,16;"S": Fn=8:5000:b;0,4;"IDENTITIES AND FORMULAE"  1090B p:13 ,3;"To solve non-right-angled";14,3;"triangles,use SINE RULE:-";16,7;"a = b = c";17,5;"SIN A SIN B SIN C" }43+,40(:34",0:107k,40(:34",0:171,40(:34",0:9000(# 893}:13 ,0;z$;z$;13 ,6;"or use COSINE RULE:-";16,6;"a=b+c-2bc COS A":9000(# 893}:13 ,0;z$;z$;13 ,9 ;"REMEMBER ALSO:-";15,9 ;"SINA+COSA=1";18,0;"Note that SINA is SIN A X SIN A":9000(# 893}:15,5;"Area of triangle ABC =";17,11 ;"1 ab SIN C";18,11 ;"2":88X,32 :8,0:9000(#:ind=1 Bwr=0:cl=1:h=0:w$="":5000:1090B QA1=(*11 )+79O:B1=(*11 )+502:c1=(*11 )+10 m1;4,18;A1;"";8,22;B1;"";5,24;"=";c1;10 ,17;"=?" ba$=(((((c1*(A1*/180)/((180-A1-B1)*/180))+.05|L)*10 ))/10 ) <p:p$=" What is the length of CB?":13 ,0;p$ (685:q$="h"957+3*h  21004 3wr=1:k=-3:w$"y"969+(w$="") 'j=1521:j,0;z$:j k=k+3:960+k 9000(#:957 W15,0;"Use SINE RULE: a/SIN A = c/SIN C":945+13 *(wr=1) ù15,0;z$;15,8;"C=180-";A1;"-";B1;"=";180-A1-B1;"";7;9 ,9 ;"^";10 ,8;180-A1-B1;"":945+13 *(wr=1) 15,1;"CB/SIN ";A1;" = ";c1;"/SIN ";180-A1-B1;"";17,1;"Giving CB = ";18,4;"SIN ";A1;" X ";c1;"/SIN ";180-A1-B1;" = ";a$;19,0;z$;z$:9000(#  1861E !975+3*(ind=1) 4+974*(q$="y") Oind=0:wr=0:cl=1:h=0:w$="":5000:1090B QA1=(*11 )+79O:b1=(*11 )+21:c1=(*11 )+10 m1;4,18;A1;"";4,12 ;b1;"=";5,24;"=";c1;10 ,17;"=?" [a$=((((((b1*b1+c1*c1-2*b1*c1*(A1*/180)))+.05|L)*10 ))/10 ) <p:p$=" What is the length of CB?":13 ,0;p$ )685:q$="h"1009+3*h  21004 4wr=1:k=-3:w$"y"1021+(w$="") 'j=1521:j,0;z$:j k=k+3:1012+k 9000(#:1006 W15,0;"Use COS RULE: a=b+c-2bc COS A":993+16*(wr=1) 15,0;z$;15,1;"CB=";b1;"+";c1;"-2x";b1;"x";c1;"xCOS";A1;"";17,1;"Giving CB = ";b1*b1;"+";c1*c1;"-";(((2*b1*c1*(A1*/180))*1000))/1000;18,5;"So CB = ";a$;19,0;z$;z$:9000(#  1861E 4+926*(q$="y") B60<,100d:150,0:-502,502:-100d,-502:2,20;"A";10 ,27;"B";10 ,6;"C" EF10 ,16;"a";4,15;"b";5,23;"c": Lind=1:n=8 OSl$="6":0:wr=0:cl=1:h=0:w$="":5000:1290  P80P,96`:60<,30:60<,-30:140,156:0,-30:1:i=0293:80P+2*i,96`+i:81Q+2*i,97a+i:140+2*i,126~-i:141+2*i,125}-i:i:0 RNAB=(*10 )+16:AR=(*3)+10 :Q=(*6)+502 U1;7,17;"R";10 ,17;"M";5,21;AB;"cm";5,10 ;AB;"cm";9 ,21;Q;"";9 ,17;"." V2,21;AR;"cm(AR)":168,150:-24,-16,-/2:3,3:-3,-3:3,-3 XTa$=((((((AR/(AB*(Q*/180))))*180/+.05|L)*10 ))/10 ) Yp:13 ,1;"ABC is a thin board supported";15,1;"at an angle to the ground by a";17,1;"vertical rod AR. M is the";19,1;"midpoint of CB. ABC=";Q;"":9000(# [I893}:p:p$=" Angle of AM to the ground? ":13 ,0;p$ ^)685:q$="h"1133m+3*h a 21004 d4wr=1:k=-3:w$"y"1148|+(w$="") g'j=1521:j,0;z$:j jk=k+3:1136p+k m9000(#:1130j pu1910v:p$="Angle of AM to the ground(AMR)?":13 ,0;p$;15,3;"Find length of AM first" q!8,99c:3,0:0,-3:8,96`:60<,0:-60<,60<:0,-60<:7;1,0;"A";10 ,0;"M";10 ,7;"B";1;5,5;AB;9 ,5;Q;"":1118^+15*(wr=1) sFAM=((((AB*(Q*/180))+.00005rQX)*10000'))/10000' t\15,0;" SIN";Q;"=AM/";AB;" So AM=";AM;"cm":1118^+15*(wr=1) v1910v:16,96`:524,0:-524,30:0,-30:7;5,1;"A";10 ,1;"R";10 ,7;"M";8,0;AR;2,3;AM;3,7;"cm" w16,99c:3,0:0,-3:44,,150:-4,-32 ,-/2:0,3:0,-3:3,0 x`15,0;z$;15,4;"From AMR find AMR":1118^+15*(wr=1) y15,0;z$;15,4;"SIN AMR=AR/AM=";AR;"/";AM;17,10 ;"So AMR=";a$;"";19,0;z$;z$:9000(# | 1861E "1154+6*(ind=1) 4+1156*(q$="y") Sl$="7":0:wr=0:cl=1:h=0:w$="":5000:1290  +80P,96`:90Z,30:200,96`:-90Z,30:140,156:0,-60<:1:i=760<6:140,156-i:140,155-i:80P+i,96`:81Q+i,96`:140+i,96`:141+i,96`:i:0 8140,100d:4,0:0,-4 UAM=(*4)+6:BC=((*4)+5)*2:BE=(*4)+2 1;10 ,17;"M";5,13 ;"D";5,21;"E";7,11 ;BE;7,23;BE;10 ,14;BC/2;10 ,21;BC/2 2,21;AM;"cm(AM)":168,150:-24,-16,-/2:3,3:-3,-3:3,-3 C=(2*AM/BC):rads Ja$=(((((BC*BC+BE*BE-2*BC*BE*C)+.05|L)*10 ))/10 ) p:14,1;"The diagram shows a roof truss";15,1;"made from four lengths of wood";16,8;"AB,AC,CE and BD";18,1;"CD=BE=";BE;"cm. CM=MB=";BC/2;"cm. AM=";AM;"cm.":9000(# E893}:p:p$=" Length of BD=?":13 ,0;p$,z$ )685:q$="h"1197+3*h  21004 4wr=1:k=-3:w$"y"1218+(w$="") 'j=1521:j,0;z$:j k=k+3:1200+k 9000(#:1196 11910v:15,9 ;"Find ACM first" >68D,99c:-3,0:0,-3:8,96`:60<,0:0,60<:-60<,-60<:7;1,8;"A";10 ,0;"C";10 ,8;"M";1;6,7;AM;10 ,4;BC/2;9 ,2;"?":1184+15*(wr=1) ;C1=(((C*180/+.0005vn)*1000))/1000 15,0;" TAN ACM=";AM;"/";BC/2;" So ACM=";C1;"";7;1;9 ,2;"?";2,1;C1;"":20,150:-4,-513,-/2:0,3:0,-3:3,0:1184+15*(wr=1) a15,0;z$;15,6;"Use COS rule in DBC":1184+15*(wr=1) 15,0;z$;15,7;"a=b+c-2bcCOS A";17,1;"So BD=";BC;"+";BE;"-2x";BC;"x";BE;"xCOS";C1;"";19,0;z$;z$;19,8;"Giving BD=";a$;"cm":9000(#  1861E "1224+6*(ind=1) 4+1226*(q$="y") Tl$="8":ind=0:0:wr=0:cl=1:h=0:w$="":5000 э64@,96`:136,0:-16,480:-80P,8:-40(,-568:184,144:-120x,-480 ԛB1=(*11 )+79O:B2=(*11 )+20:C1=(*11 )+68D:AB=((*4)+12 )*10 :DC=((*4)+20)*10 1;2,12 ;"A";3,23;"B";10 ,24;"C";10 ,7;"D";2,16;AB;"m";10 ,15;DC;"m";4,18;B2;"";5,27;B1;"";9 ,22;C1;"" ڡ178,140:7,-1,/2:177,131:3,3:3,-3:-4,3:40(,-10 ,3*/4 b170,145:0,-6,/2:198,99c:-2,-2,/2 +DB=DC*(C1*/180)/(B1*/180) Ta$=(((((1/2*DB*AB*(B2*/180))+.05|L)*10 ))/10 ) jp:15,2;"A field ABCD has a footpath";17,5;"BD straight across it":9000(# F893}:p:p$=" Area of triangle ABD=?":13 ,0;p$ )685:q$="h"1267+3*h  21004 4wr=1:k=-3:w$"y"1285+(w$="") 'j=1521:j,0;z$:j k=k+3:1270+k 9000(#:1266 X15,0;"Use SINE rule in BCD to find BD":1254+15*(wr=1) BD=(((DC*(C1*/180)/(B1*/180)+.0005vn)*1000))/1000:7;6,1;BD;"m":129,128:3,0:0,3:0,-3:-96`,0,/2 15,0;z$;15,1;"Use a/SIN A = b/SIN B in BCD";16,1;"So BD/SIN";C1;"= ";DC;"/SIN";B1;"";17,3;"Giving BD = ";BD;"m":1254+15*(wr=1) 15,1;"Use area of =1abSIN C in ABD";16,15;"2":120x,480:8,0:1254+15*(wr=1) 15,1;"1abSIN C = 1x";AB;"x";BD;"xSIN";B2;"";16,1;"2";16,12 ;"2";18,1;"Giving area ABD = ";a$;" sq.m";19,0;z$;z$:8,480:8,0:96`,480:8,0:9000(#  1861E 4+1099K*(q$="y")  80P,96`:120x,0:-60<,60<:-60<,-60<:1,17;"A";10 ,24;"B";10 ,10 ;"C": .5,-10 :1.5@,-20:v=v+1:7;21,0;" Correct ans:";s+1;" ":5036:7;12 ,18;"Since": :,1;19,n+2;" Well done " =gu=u+1:.2~L,2:.2~L,2:.2~L,4:.2~L,4:.5,9 D 9000(# E1:9 :1::7:3,12 ;" So far ";7,6;" Total correct ";u;" ";9 ,6;" Total incorrect ";v;" ":ind=121,8;:9001)#: G416,9 ;"More? y or n":""1863G H!q$=:q$"y"q$"n"1864H J h=0: Xq$=q$(f)+"("+q$(f+1) Y<br=0:q$(f+2)="("br=1:br1=br1+1 [i=f+2̱q$ \2br=1(q$(i)="("if+2)wr=1: ]"br=1q$(i)")"1893e ^q$(i)=")"br2=br2+1 _Y(br=1q$(i)=")")(br=0q$(i)="+"q$(i)="-"q$(i)="*"q$(i)="/")1896h e#q$(i)<"("q$(i)>"9"wr=1: fCi:q$=q$+("*/180)"ind=0)+(")*180/"ind=1):f=q$: hdq$=q$(i-1+(br=1))+("*/180)"ind=0)+(")*180/"ind=1)+q$(i+(br=1)) i#(q$(f)""q$(f)"")1899k j5q$(f+2-(br=0)i)>1wr=1: kf=i+7+(br=1): l;b=(*3):b:p=(*2)+5:p::7: v1i=110 :7;i,0;y$:i: r7;19,0;" Use computer as a calculator? ";20,0;z$;20,12 ;" y or n " ub;9 ;0,11 ;"EXERCISE";21,0;z$;21,7;("Need help? Press h")h1=0:  1970 ""2016 (q$=:q$"y"q$"n"q$"h"2018 i=13 20:i,0;(z$cl=1);7;i-12 ,0;(o$(8)l$"4"l$"6"l$"7"l$"8"):i:13 ,0;p$:cl=0 Oq$="h"h=h+1:m=6:b;21,0;z$;5,0;"":  q$="n" br1=0:br2=0:wr=0:p:16,0;z$;19,0;z$;z$;15,0;"You can use SIN,ATN,etc,+,-,*,/ " %q$:q$=""űq$>312030 ;19,0;z$;z$:q$(q$)="="q$=q$(̱q$-1) 8q$="h"h=h+1:m=6:21,0;z$: ?(q$(q$)<"0"q$(q$)>"9")q$(q$)")"q$(q$)""2061  'i=1620:i,0;z$:i g$=q$:f=1 *q$(q$)=")"q$=q$((q$-1))+"*1)" l=q$ f>q$2079 Oq$(f)="("q$(f)=")"br1=br1+(1q$(f)="("):br2=br2+(1q$(f)=")") l(q$(f)178Ưq$(f)183)ind=(1Ưq$(f)>180)+(0Ưq$(f)<181):2064 RfDZq$(q$(f)40(Ưq$(f)579Ưq$(f)44,)f=f+1:2049 f=q$2055 Wf"9"))2061  ffDZq$(q$(f)40(Ưq$(f)579Ưq$(f)44,)q$(f)=""q$(f)=""f=f+1:2049  f>q$2079  o16,0;z$;z$;z$;z$;z$;18,8;"Invalid. Try again":br1=0:br2=0:2027 f=q$2061  f=12070 =q$(f-1)=46.ůq$(f-1)>47/2061  vq$(f)=183((q$(f+1)<480Ưq$(f+1)>579)q$(f+1)"("q$(f+1)")")2061  !q$(f)=""q$(f)=""2090* dq$(f)<181((q$(f+1)<480ůq$(f+1)>579)q$(f+1)"(")2061  =l=l+3:1880X:wr=1wr=0:2061  fɱq$2049 br1br22061   ;17,0;z$;z$:l<3017,0;g$ "^l>2916,0;g$(̱g$/2);17,0;g$(g$/2+1̱g$) &@18,0;"=";(q$*1000)/1000:2015 *&i$="":q$(f+1)="("2093- +>j=f+1̱q$:(q$(j)<"0"q$(j)>"9")q$(j)"."2095/ ,j:2095/ -5j=f+2̱q$:q$(j)=")"j=j+1:2095/ .j /Oq$(f+1j-1)>1Űq$(f+1j-1)<02061  0 2071 4p:19,0;z$;z$;z$;7;15,0;z$;z$;15,5;"Key in your answer to";16,5;("1 decimal place"l$"4");(" (omit ) "l$"4"l$"5");16,1;("the nearest whole no.(omit km)"l$="4");16,21;("(omit cm)"l$="7") 547;16,21;("(omit sq.m)"l$="8") :q$:q$>62106: >h=0:i=1520:i,0;z$:i:16,8;"Your answer ";q$:568,480:14*8+8*q$,0:0,-9 :-14*8-8*q$,0:0,9 @$q$<7q$=a$+".0"2130R Aq$<7q$=a$2130R Cwr=1:v=v+1:.5,-10 :1.5@,-20:18,8;"Correct ans ";a$:568,32 :8*14+8*a$,0:0,-9 :-8*14-8*a$,0:0,9 H=m=13 :2;21,7;" Like to see why? " I'w$=:w$=""w$"y"w$"n"2121I J L1860D: R1850:: q$="":12 ,12 ; q$>53027 ""3006 =""3009 ĉ.05|L,15:i$=:i$=12 Ʊq$>0q$=q$(̱q$-1):12 ,12 ;" ";12 ,12 ;q$;:3003 i$="h" %i$="s""";:q$=q$+"":3003 i$=13 3027 i$=12 3003 i$;:q$=q$+i$:3003 өi=510 :i,0;n$:i:21,0;n$;12 ,0;"Your answer:":0,81Q:144,0:0,70F:144,0: [10 ,1;"1. True";11 ,1;"2. False";14,1;"Press 1 or 2" <q$=:q$=""q$"1"q$"2"(ind=1q$"h")3053 q$="h" <14,0;n$;13 ,1;"Your answer:";q$: 196,32 :0,-32 :176,16:40(,0:7;18,26;"A";18,22;"S";21,26;"C";21,22;"T";p;21,0;n$: z1900l:i=111 :7;i,0;z$:i:0,80P:255,0:b;0,0;z$: gf=0:66B,120x:i=02*ͧ/10 :g=i:6,(g-f)*35#:f=g:i: gf=1:72H,160:i=02*ͧ/10 :g=i:6,(g-f)*35#:f=g:i: ef=0:66B,120x:i=0̧/2ͧ/10 :g=i:6,(g-f)*14:f=g:i }f=-2.365\(:100d,80P:i=/2+.4L3*/2ͧ/10 :g=i:6,(g-f)*14:f=g:i f=-2.365\(:160,80P:i=3*/2+.4L2*+.6ͧ/10 :g=i:5,(g-f)*14:f=g:i [ind=0:102f,80P:0,88X:160,80P:0,88X: 72H,88X:0,72H:64@,120x:144,0:1;7;2,8;("1"s2);10 ,7;("-1"s2);7,9 ;"0";7,24;"360";1,9 ;"y";6,27;"x": h20,22;"Need help?";21,24;"Press h";7;20,1;"Press 1 to 3" .q$=:q$=""q$<"1"q$>"3"q$"h"5027  q$="h"5039:5027 320,1;"Your answer:";q$:5036: 3i=12 21:0;i,17;o$:i:  5036 7;14,18;" x= 0 90";16,18;"SIN x= 0 1 ";18,18;"COS x= 1 0 ";20,18;"TAN x= 0 " P192,63?:0,-557:216,63?:0,-557: #(.b;21,n;" Press any key ":9003+# #)b;" Press any key " #+""9003+# #.=""9006.# #1.05|L,15: nhbp<uvn q7m kcIڢVLLBy:5rrrosfgXxZ-Wd  -lILB\G1/2*120*204.26*20A32.5P Angle of AM to the ground? WnQnY O M N Z Lu