Top 10k strings from Introduction to Trigonometry (1984)(Griffin Software)(Side B).tzx in <root> / bin / z80 / software / Sinclair Spectrum Collection TOSEC.exe / Sinclair ZX Spectrum - Utilities & Educational / Sinclair ZX Spectrum - Utilities & Educational - [TZX] (TOSEC-v2007-01-01) /
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6 ;" ":
4 ;"Correct!":
3 ;"T R I G O N O M E T R Y"
3 ;"Question ";j
3 ;"PRESS S"
3 ;"PRESS R":
3 ;"I N T R O D U C T I O N";
3 **** str ****
3 **** nin ****
3 **** cls ****
3 **** cll ****
3 (a-yy)>.01
3 (a-xx)>.01
3 (a-ans)<.01
3 '" otherwise:-";
2 yy=((le*10
2 xx=((le*10
2 lbc=le*ans:
2 lab=le*anc
2 ;a;" Correct!":
2 ;"units long, angle";
2 ;"sin";ang;"
2 ;"cos";ang;"
2 ;"coordinates of P";
2 ;"You scored ";sc;" out of 10."
2 ;"POST TEST"
2 ;"LESSON FOUR"
2 ;"LESSON FIVE"
2 ;"Find the cosine and sine of ";ang;"
2 ;"AC = ";le;"cm."
2 ;"A = ";ang;"
2 ;" y coordinate = "
2 ;" x coordinate = ";
2 ;" When you are ready to begin thenext lesson, type NEW followedby-"'';
2 ;" Length of OP = ";
2 ;" Angle xOP = ";
2 ;" The x and y";
2 (a-lbc)<(le/100
2 (a-lab)<(le/100
1 triangle, but this time we willmake AC 5cm long."
1 logo
1 in your table."
1 file
1 TRIGT
1 TRIG5
1 TRIG4
1 Recording
1 Created with Ramsoft MakeTZX
1 ;xb;", which is";
1 ;le;" units long?"
1 ;bc;" Correct!":
1 ;ab;" Correct!":
1 ;"y is 0.77."
1 ;"y = "+("-"
1 ;"xOP is ";ang;"
1 ;"xOP still being";
1 ;"xOP still 50
1 ;"x = "+("-"
1 ;"x is 2.5 times";
1 ;"x and y for the";
1 ;"which is 0.32."
1 ;"which is -1.97."
1 ;"what are the";
1 ;"we have for unit";
1 ;"vectors?"
1 ;"vector."
1 ;"vector OP as the";
1 ;"values of 232
1 ;"using the tables";
1 ;"use the rules you";
1 ;"use our tables of";
1 ;"unit vector to";
1 ;"times 0.77, which";
1 ;"times 0.77 which";
1 ;"times ";yb;",which";
1 ;"times 0.64 which";
1 ;"these values by";
1 ;"then x will be";
1 ;"the tables."
1 ;"the relevant ang-";
1 ;"the length of OP."
1 ;"the coordinates of P?"
1 ;"the angle xOP is";
1 ;"the relevant x";
1 ;"the coordinates";
1 ;"so BC = ";lbc;".":
1 ;"so AB = ";lab;".":
1 ;"questions where";
1 ;"of P for the unit";
1 ;"of ";q;"."
1 ;"of 10 questions";
1 ;"not 1 unit long."
1 ;"multiply the x";
1 ;"long, and angle";
1 ;"long, and angle A is ";ang;"
1 ;"lesson to find";
1 ;"less than 90
1 ;"learned last";
1 ;"le by the length";
1 ;"is 1.54."
1 ;"is 1.28."
1 ;"is 0.39.":
1 ;"is ";yc;"."
1 ;"is greater than";
1 ;"is ";le;" times";
1 ;"inates of P where";
1 ;"if angle xOP is";
1 ;"hypotenuse AC is ";le;"cm long. Whatare the lengths of the sides ABand BC?"
1 ;"for P when OP is";
1 ;"for angles up to";
1 ;"find the coord-";
1 ;"exercise of five";
1 ;"coordinates of P?"
1 ;"coordinates will";
1 ;"been looking at";
1 ;"be twice those";
1 ;"are the coordinates of P to 2decimal places?"
1 ;"are -0.62 and";
1 ;"angle xOP is 50
1 ;"angle xOP chan-";
1 ;"and y values from";
1 ;"and y values for";
1 ;"and angle xOP is ";ang;"
1 ;"and y is ";le;
1 ;"You should have another look atthe lessons which you do notfully understand."
1 ;"You scored ";sc;" out";
1 ;"You scored ";sc;" out of 6."
1 ;"You got the following question"+("s"
1 ;"Wrong! It is ";ans;".":
1 ;"Wrong! It is ";anc;".":
1 ;"Which number (1 or 2)?"
1 ;"UPPER CASE";
1 ;"Type in file name in ";
1 ;"Therefore, we can";
1 ;"The diagram shows the graph of:";
1 ;"That completes the Post Test."
1 ;"That completes Lesson Four."
1 ;"That completes Lesson Five."
1 ;"Suppose OP was 2";
1 ;"Stop and rewind tape"
1 ;"SAVE""file"" LINE 2"
1 ;"Question 6"
1 ;"Question 5"
1 ;"Question 4"
1 ;"Question 3"
1 ;"Question 2"
1 ;"Question 1"
1 ;"PLEASE WAIT";
1 ;"OP is not a unit";
1 ;"Now try exercise 5 in the book,making sure that you do allcorrections."
1 ;"Now let's put these ideas towork to find the other two sidesof a right angled triangle,giventhe angle A and the length ofthe hypotenuse AC."
1 ;"Now an exercise";
1 ;"No, BC/AC=";ans
1 ;"No, BC = ";le;"x";ans;",";
1 ;"No, BC = ";bc:
1 ;"No, AB/AC=";ans
1 ;"No, AB = ";le;"x";anc;",";
1 ;"No, AB = ";ab:
1 ;"Load main program"
1 ;"Leave tape running"
1 ;"LOAD ~TRIGT~"
1 ;"LOAD ~TRIG5~"
1 ;"In the right angled triangleABC, angle A is 36
1 ;"If you would like to go over"'" the Post Test again, ";
1 ;"If you would like to go over"'" Lesson Four again, ";
1 ;"If you would like to go over"'" Lesson Five again, ";
1 ;"For example.";
1 ;"For example-";
1 ;"For Example:":
1 ;"Find the lengths of the sides ABand BC."
1 ;"Calculate the lengths of thesides AB and BC."
1 ;"Bye For Now!"
1 ;"But suppose OP is";
1 ;"BC/AC = "
1 ;"BC = ACxsinA, therefore: "
1 ;"AB/AC = "
1 ;"AB = ACxcosA, therefore: "
1 ;"2.5 times -0.79,";
1 ;"2.5 units long,";
1 ;"2) y against angle xOP."
1 ;"1) x against angle xOP.";
1 ;"1 unit long."
1 ;"0.5 times 0.64,";
1 ;"-1.54, and y is";
1 ;"-0.79. So for P,";
1 ;"-0.62, which is";
1 ;" You will need an exercise book,pencil, ruler, protractor, setsquare and calculator."
1 ;" You have drawn a right angledtriangle whose hypotenuse is ";le;"cmlong, and whose angle BAC is";ang;"
1 ;" What are the";
1 ;" We give a special name to theseratios AB/AC and BC/AC."
1 ;" We call the ratio AB/AC theCOSINE of angle A(it correspondsto the x value in our table)."
1 ;" Using table B in your workbook,find the x and y values for Pwhen angle xOP is ";ang;"
1 ;" Using a calculator, divide thelengths of AB and BC by thelength of the hypotenuse AC,which is ";le;"cm."
1 ;" Use your set square to draw avertical line through C."
1 ;" This is not really surprising,but it is useful, for, if we aregiven the length of the hypot-enuse of a right angled triangleand an angle, we can, using thetables for x and y, calculatethe lengths of the other twosides, just as we did the x andy coordinates of P for a non-unit vector in the last lesson."
1 ;" This post test contains sixquestions. Your answer to eachquestion is checked and at theend you will be given yourscore."
1 ;" The vector OP is ";le;" units long,";
1 ;" The result for AB/AC is thesame as the x value for ";ang;"
1 ;" The ratios AB/AC and BC/AC arethe same no matter how big thetriangle is, as long as theangle A stays the same."
1 ;" The ratio BC/AC we call theSINE of angle A(this correspondsto the y value in the tables)."
1 ;" The figure shows a right angledtriangle ABC, where AC is ";le;"cm";
1 ;" The diagram shows a unit vectorOP inclined at ";ang;"
1 ;" So, for a right angled triangleABC with angle A given, if wedivide the lengths of the sidesAB and BC by the length of AC,weget the same numbers as the xand y values in our table forangle A."
1 ;" So x is 0.64 and";
1 ;" So x will be 2";
1 ;" So far we have";
1 ;" Similarly, BC = AC times sinA,which is 6x0.59. So BC is 3.54cmlong."
1 ;" OP is ";le;" units";
1 ;" Now look at your table of x andy values for angle xOP=";ang;"
1 ;" Now let's try a triangle with A20
1 ;" Now it is time for you to do asimilar exercise from yourworkbook. Have a go at exercise4, making sure you check allanswers."
1 ;" Now try an exercise of tenquestions."
1 ;" Measure the lengths of AB andBC."
1 ;" Mark the right angle and labelit B."
1 ;" Mark an angle of ";ang;"
1 ;" Let's try drawing another 40
1 ;" Let's get used to these termsby working through a shortexercise."
1 ;" Label the left hand end of theline A."
1 ;" Label the end C."
1 ;" In this right angled triangleABC, the angle A is ";ang;"
1 ;" If angle xOP is";
1 ;" If OP was 0.5";
1 ;" From the work you did in lessonfour,it is clear that AB = ACtimes cosA, so look up cos36
1 ;" For short write cosA for COSINEof A, and sinA for SINE of angleA."
1 ;" Finally, a triangle ABC, whereangle A is 70
1 ;" Draw a line ";le;"cm long, inclinedat ";ang;"
1 ;" Draw a horizontal line about15cm long."
1 ;" Can we find the";
1 ;" And y will be 2";
1 ;" And we call the x and y tablesthe cosine and sine tables forthe angle."
1 ;" Where angle xOP";
1 ;" Then multiply";
1 ;" Now a short";
1 ;" LOADING PROGRAM
1 ;" In this case";
1 ;" And y is 0.5";
1 ;" All we do is";
1 ;" 90 180 270 360"
1 ;" ":
1 ;" "
1 ;" "
1 . What are";
1 . Theyare the same or almost the sameas the ones you have just workedout."
1 , andthat for BC/AC is the same asthe y value."
1 , and OP is";
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1 (yb*le*100
1 (xb*le*100
1 (ans-yc)<.01
1 (ans-xc)<.01
1 (a-yy)>(le/100
1 (a-xx)>(le/100
1 (a-anc)<.01
1 "clear (y/n) ?";q$
1 "address ? ";x
1 "Filename",a$
1 " ";x;" ";
1 to the horizontal."
1 to Ox. What";
1 is 0.81, so AB = 6x0.81,which is 4.86. So AB is 4.86cmlong."
1 and AC is 5cm."
1 and AC 8cm."
1 and the";
1 you should";
1 and thehypotenuse is 6cm."
1 and OP is";
1 Q
1 "