Top 10k strings from Introduction to Trigonometry (1984)(Griffin Software)(Side A).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 ;" ":
5 ;"Correct!":
4 ;" Enter an angle";
4 ;" Enter another";
4 ,"'"and look up that"'"angle in the table."
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 ;" When you are ready to begin thenext lesson, type NEW followedby-"'';
3 ;" If the angle is";
3 ;" 90 180 270 360"
3 **** str ****
3 **** nin ****
3 **** cls ****
3 **** cll ****
3 '" otherwise:-";
2 xx=xx+.005
2 xv=xv-.005
2 xv=xv+.005
2 t2=base+90
2 t2=ang-base
2 ;"between 90
2 ;"between 0
2 ;"angle xOP."
2 ;"angle between";
2 ;"You scored ";sc;" out of 5"
2 ;"LESSON TWO"
2 ;"LESSON THREE"
2 ;"First, angles between"'"90
2 ;" giving ";t2;"."
2 ;" When we drew the"'"graph for that part"'"of the x - axis, we"'"worked back from"'"180
2 ;" Then a sketch of the"'"curve."
2 ;" The curve from 180
2 ;" That implies that we"'"should subtract 180
2 ;" Now angles between"'"270
2 ;" Now angles between"'"180
2 ;" No, you subtract ";ang'"from ";base+90
2 ;" Let's try a short"'"exercise together."
2 ;" First, what angle do"'"we look up in the"'"table?"
2 ;" As angle xOP";
2 ;" Angle xOP= x=0.00 y=0.00 "
2 ;" When we drew the"'"graph for that part"'"of the x - axis, we"'"worked from 180
2 ;" When we drew the"'"graph for that part"'"of the x - axis, we"'"worked back from"'"360
2 **** pcl ****
2 (a-xx)<.01
2 "'"forwards."
2 byusing the table for 0
1 logo
1 file T7
1 a2=-a2-.005
1 TRIG3
1 TRIG2
1 TRIG 1
1 Recording
1 Created with Ramsoft MakeTZX
1 ;"you can see it";
1 ;"you drew unit";
1 ;"y is still negative."
1 ;"y are negative."
1 ;"y = "+("-"
1 ;"xOP and the co-";
1 ;"xOP and the";
1 ;"x decreases from";
1 ;"x = "+("-"
1 ;"x continues to";
1 ;"x and y coord-";
1 ;"will check your";
1 ;"whose length is";
1 ;"while y starts to";
1 ;"which is a line";
1 ;"what happens to";
1 ;"we make OP turn";
1 ;"vectors OP at 10
1 ;"vectors OP for";
1 ;"unit vector OP,";
1 ;"turning through";
1 ;"this angle if we";
1 ;"the angles XOP in";
1 ;"the angle xOP as";
1 ;"the relationship";
1 ;"the coordinates";
1 ;"the following";
1 ;"than 180, x";
1 ;"still positive."
1 ;"special worksheet";
1 ;"some work.Use the";
1 ;"showing the angle";
1 ;"see that again?";
1 ;"rises above 90,so";
1 ;"positive and y is";
1 ;"ordinates x and y";
1 ;"negative."
1 ;"negative and y is";
1 ;"made up a table";
1 ;"intervals."
1 ;"increases, but y";
1 ;"increases to 90,";
1 ;"increases from 0";
1 ;"increase to 1,";
1 ;"inates of P. Type";
1 ;"in your x and y,";
1 ;"go from -1 to 0."
1 ;"fixed line Ox."
1 ;"first draw in a";
1 ;"exercise.":
1 ;"decreases from 1";
1 ;"decrease to -1,";
1 ;"coordinates of P";
1 ;"continues from 0";
1 ;"continues to";
1 ;"between the angle";
1 ;"between 270
1 ;"between 180
1 ;"between 270
1 ;"between 180
1 ;"axes like those";
1 ;"answers."
1 ;"another exercise.":
1 ;"angle between 90
1 ;"angle between 0
1 ;"and y are posi-";
1 ;"and the computer";
1 ;"and read off the";
1 ;"and now y";
1 ;"an angle. Draw OP";
1 ;"an ANGLE.":
1 ;"about O."
1 ;"a little further."
1 ;"You will be given";
1 ;"You scored ";sc;" out";
1 ;"You need to try";
1 ;"Wrong. The correct value is-":
1 ;"When angle xOP is 20
1 ;"When angle xOP is 10
1 ;"When angle xOP is 0
1 ;"We can measure";
1 ;"UPPER CASE";
1 ;"Type in file name in ";
1 ;"The answers are:";
1 ;"That completes Lesson Two."
1 ;"That completes Lesson Three."
1 ;"That completes Lesson One."
1 ;"Stop and rewind tape"
1 ;"SAVE""file"" LINE 2"
1 ;"PLEASE WAIT";
1 ;"OP turns."
1 ;"O is fixed, and";
1 ;"No, y = ";
1 ;"No, x = ";
1 ;"Next we will draw";
1 ;"Load main program"
1 ;"Let's look at that more closely."
1 ;"Leave tape running"
1 ;"LOAD ~TRIG4~"
1 ;"LOAD ~TRIG3~"
1 ;"LOAD ~TRIG2~"
1 ;"LESSON ONE":
1 ;"LESSON ONE"
1 ;"In this study pack we are goingto explore the basic ideas oftrigonometry by first looking athow the coordinates of the endP, of a line segment OP, changeas OP turns about O.":
1 ;"If you would like to go over"'" Lesson Two again, ";
1 ;"If you would like to go over"'" Lesson Three again, ";
1 ;"If you would like to go over"'" Lesson One again, ";
1 ;"INCORRECT!";
1 ;"Graph of y against";
1 ;"Graph of x against";
1 ;"CORRECT!":
1 ;"As OP rotates,";
1 ;"Angle xOP = 0
1 ;"1, which shows";
1 ;"1 unit."
1 ;"1 to 0, while y";
1 ;"(x,y) of P as OP";
1 ;" Within the table of valuesthere is a pattern. As angle xOPincreases so x decreases from 1through 0 to -1 and then backagain. Meanwhile, y increasesfrom 0 to 1 then back through 0to -1 and back to 0 again."
1 ;" When xOP is more";
1 ;" When in mathematics we see apattern between two sets ofnumbers, we like to make itclearer by drawing a graph."
1 ;" When entering x and y values inthe following exercise, thecomputer will automatically puta ~-~ sign at the start of anegative answer, so you shouldonly type the number.":
1 ;" What is the value of"'"y if angle xOP is"'ang;"
1 ;" What is the value of"'"x if angle xOP is"'ang;"
1 ;" We start with a";
1 ;" We can use this to help uswrite down the values of y whenangle xOP is greater than 90
1 ;" We can use this to help uswrite down the values of x whenangle xOP is greater than 90
1 ;" We begin by drawing axes forthe angle xOP from 0
1 ;" We can measure";
1 ;" Turn to exercise 2 in yourworkbook and using your table,draw a graph of y against anglexOP on worksheet 2."
1 ;" They show a definite patternwhich you may have noticed fromthe tables."
1 ;" Then you drew the graph of yagainst angle xOP."
1 ;" That implies that we"'"should subtract the"'"angle whose y value"'"we want from 360
1 ;" That implies that we"'"should subtract the"'"angle whose x value"'"we want from 360
1 ;" That implies that we"'"should subtract the"'"angle whose y value"'"we want from 180
1 ;" That implies that we"'"should subtract the"'"angle whose x value"'"we want from 180
1 ;" So what is the value"'"of y?"
1 ;" So what is the value"'"of x?"
1 ;" Press ENTER to see the graph ofy against xOP."
1 ;" On it draw unit";
1 ;" Now you can do";
1 ;" Now we plot the points (anglexOP,x) using the table made upfrom the last lesson."
1 ;" Now we look at the"'"y curve."
1 ;" Now we join the points with asmooth curve.":
1 ;" Now we can see";
1 ;" Now use your table and enterthe value of x for the angle xOPshown."
1 ;" Now try exercise 1 in thebooklet. Be sure to check youranswers as this is an importantexercise, and you will need youranswers for lesson 2."
1 ;" Notice that y is now"'"negative."
1 ;" Let us explore";
1 ;" In this case a graph of x or yagainst the angle xOP."
1 ;" In exercise one,";
1 ;" In Lesson Two the computer drewthe graph of x against anglexOP."
1 ;" If you only had the part of thegraph or table between 0
1 ;" If the angle is";
1 ;" From 270, x";
1 ;" For the y curve, to draw thepart that goes from 90
1 ;" For the x curve, to draw thepart that goes from 90
1 ;" First a table for"'"angle xOP from 0
1 ;" First we look at the way xchanges as the angle xOPincreases from 0
1 ;" First a table for"'"angle xOP from 0
1 ;" Don't forget x is"'"negative, so put a"'"minus sign in front"'"of the value."
1 ;" Do you want to";
1 ;" But now x is posi-"'"tive, so there is no"'"need for a sign in"'"front of the value."
1 ;" Angle xOP = x = "
1 ;" And the last part we get bydrawing back from (360,1)."
1 ;" And the last part we get bydrawing back from (360,0)."
1 ;" Notice that y is"'"positive."
1 ;" LOADING PROGRAM
1 ;" From this you";
1 ;" But again x is"'"negative, so we put a"'"minus sign in front"'"of the value."
1 ;" ":
1 ;" ":
1 ;" "
1 ;" ":
1 ;" "
1 ,you draw the same curve butstarting from (180,0) and goingback to 90
1 ,you draw the same curve butstarting from (180,-1) and goingback to 90
1 ,x is 0.98."
1 ,x is 0.94."
1 ,and for x from 1 to -1."
1 , you could draw the rest ofthe graph or make out the restof the table to 360
1 , x is 1.00."
1 , then both x";
1 , both x and";
1 , x is";
1 , x is";
1 "clear (y/n) ?";q$
1 "address ? ";x
1 "Filename",a$
1 "'"from the angle whose"'"y value we want, and"'"look up that angle in"'"the table."
1 "'"from the angle whose"'"x value we want, and"'"look up that angle in"'"the table."
1 isthe same as the first part butnegative."
1 by copyingthe first part, but in differentpositions or with differentsigns."
1 isthe same as the first part butnegative."
1 Q
1 "