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7 3 SCRATCHPAD 2 Last example 2 HYPOTENUSE 2 A$="MATHEMATICS": 2 ;z$;z$;z$;z$;z$ 2 ;"LONGMAN SOFTWARE 2 ;" " 2 *x*z))*180 2 "DOUBLE WIDTH" 2 "DOUBLE HEIGHT" 2 for Another 2 another Example 2 Return ": 2 PRODUCTS/CONTRACT BOOKS 2 END OF PROGRAM 2 Demonstration, Test, Utility or Return? 2 COMPUTER USE 2 1984 MERCURIAN PULP 2 SEARCHING AND LOADING 2 PLEASE WAIT " 1 l,c;x$;"="; 1 data for menus 1 c=";c;". Find 1 b =ARCTANGENT 1.67 = 60 1 and angles if we know either.. 1 a=30. Find 1 a=";a;". Find 1 a$=" TEXT ": 1 a$;"Rads = "; 1 a =ARCSINE 0.5R= 30 1 W$=Z$+"In any right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the two other sides."+z$ 1 Try some more calculations now. 1 Trig ._ 1 To convert a SINE to an angle use the 1 The value of ";q$;" is ";q;" 1 Text 3S 1 TRIGONOMETRYf 1 TRIG 1 TEXT 1 TANa=Y/X"'"Y=TANa*X"'"X=Y/TANa 1 SINa=Y/H"'"Y=SINa*H"'"H=Y/SINa"''" 1 SIN COS TAN"; 1 Please select sub-section. 1 Near Enough! 1 NOTE: the 1 MORE TO COME. PRESS WHEN READY 1 MATHEMATICSa 1 MATHEMATICS 1 Created with Ramsoft MakeTZX 1 COSa=X/H"'"X=COSa*H"'"H=X/COSa"''" 1 COMPUTER USE 1 ASN ACS ATN" 1 ACS=ARCOSINE (COSINE - ANGLE ) ATN=ARCTANGENT (TANGENT - ANGLE) 1 A$="TRIGONOMETRY": 1 A GEOMETRY & SETS B GRAPHICAL METHODS C NUMERICAL MATHEMATICS D METHODS & PROCESSES E END OF PROGRAM S 1 =a Rad.*180/ 1 =30^2+18^2-2*30*18*COS 30" 1 =16. Find 1 =10. Find 1 =";x;". Find 1 ;z$;Z$;Z$;Z$;Z$;Z$;Z$;Z$;: 1 ;z$;" *** INDICATES IMPORTANT IDEA ";Z$ 1 ;Z$;Z$;Z$; 1 ;"references for that field." 1 ;"cross multiply"; 1 ;"and I will list all of my"; 1 ;"Tell me your field of interest" 1 ;"THE FIELDS"; 1 ;"TEXTBOOK": 1 ;"SIN a = 1 ;"SELECT A FIELD": 1 ;"READ THE ENTRIES": 1 ;"KNOW THEM"; 1 ;"IN YOUR"; 1 ;"FIND THEM"; 1 ;"DO YOU"; 1 ;"Computers measure angles in"'" 1 ;"COVERED?": 1 ;" The angle is 1 1 ;" ";t$(n,1 1 ;" ";t$(tx,3 1 ;" ";p$(3 1 -2ZX*COSa" 1 ,"adjacent","a5" 1 ,"Zone","a4" 1 ,"Zero","a1" 1 ,"Yard","c1" 1 ,"Vulgar Fraction","c2" 1 ,"Volume","c1","a4" 1 ,"Vertical","b7" 1 ,"Vertex","a4","a8" 1 ,"Venn Diagram ***","a2","b2" 1 ,"Velocity","b4","b8" 1 ,"Variation","d8" 1 ,"Value","d8",1 1 ,"Upper Bound","d6","a2" 1 ,"Universal Set ***","a1" 1 ,"Unity","c1" 1 ,"Union ***","a3" 1 ,"Unicursal","a6" 1 ,"Unconditional Inequality","d1" 1 ,"Unbounded","d6" 1 ,"Turning Point","b2" 1 ,"Truncated","a4" 1 ,"Trinomial","d5" 1 ,"Trigonometry","a7" 1 ,"Trial","c3" 1 ,"Tree Diagram ***","c3","b2",1 1 ,"Traversability","b5" 1 ,"Trapezoid Rule","c7" 1 ,"Trapezium","a8",1 1 ,"Transversal","b7" 1 ,"Transpose","b5" 1 ,"Translation ***","a9",1 1 ,"Transitive","a3" 1 ,"Transcendental","c5","d9",1 1 ,"Trajectory","b8" 1 ,"Torus","a4" 1 ,"Topology","a8" 1 ,"Tonne","c1" 1 ,"Theorem","d1" 1 ,"Tetrahedron","a4" 1 ,"Tessellation","a8" 1 ,"Ternary","c4" 1 ,"Terminating Decimal","c5" 1 ,"Tangent ***","a6","d3" 1 ,"Symmetry (line/rotation)","a8","a9" 1 ,"Symmetric","a3",2 1 ,"Symbol","d1" 1 ,"Surd","c2" 1 ,"Supplementary","a5" 1 ,"Sum","d2" 1 ,"Sufficient Condition","d1" 1 ,"Subtraction","d2" 1 ,"Subtend","b7","a5" 1 ,"Substitution ***","d2" 1 ,"Subset ***","a1" 1 ,"Subgroup","a2" 1 ,"Structure","a2" 1 ,"Stretch","a9",1 1 ,"Stationary Point","b3" 1 ,"Standard Index Form ***","c2" 1 ,"Standard Deviation","c3" 1 ,"Square","a8",1 1 ,"Square Root","c2" 1 ,"Spread","c3",1 1 ,"Spiral","a6" 1 ,"Sphere","a4","d8" 1 ,"Speed","b8" 1 ,"Solution","d7" 1 ,"Solid of Revolution","a4","b1" 1 ,"Small Circle","a4","a6" 1 ,"Slide Rule","c8" 1 ,"Slant","a4" 1 ,"Skew Lines","b7" 1 ,"Skew Distribution","b2" 1 ,"Singular","b5" 1 ,"Sine Rule","d3" 1 ,"Sine ***","d3",1 1 ,"Simultaneous Equations ***","b7","b5","d8" 1 ,"Simpson's Rule","c7","d8" 1 ,"Simplify","d7" 1 ,"Simple Closed Curve","a6" 1 ,"Similar","a9" 1 ,"Significant Figure ***","c3" 1 ,"Sign","c5" 1 ,"Sieve","c2" 1 ,"Side","a8" 1 ,"Shear ***","a9" 1 ,"Sexagesimal","c4" 1 ,"Sense","a9" 1 ,"Semi-interquartile Range","c3" 1 ,"Semi-circle","a6" 1 ,"Self-inverse","a2","a3" 1 ,"Segment","a6" 1 ,"Sector","a6" 1 ,"Section","a8" 1 ,"Second","c1" 1 ,"Secant","d3" 1 ,"Scatter Diagram","b2" 1 ,"Scalene","a7" 1 ,"Scale","c8","b2" 1 ,"Scale Factor ***","a9" 1 ,"Scalar","c5","c1" 1 ,"Sample","c3" 1 ,"Ruler","c8" 1 ,"Row","b1","b5" 1 ,"Rounding Off","c7" 1 ,"Rotation","a9" 1 ,"Root","d6" 1 ,"Roman Numerals","c5" 1 ,"Right Angle","a5" 1 ,"Rhombus","a8" 1 ,"Revolve","a9","b8" 1 ,"Resultant","b4" 1 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,"Multiplication","b5","d2","d9" 1 ,"Multiple","c5" 1 ,"Modulus","c9","c2" 1 ,"Mode ***","c3" 1 ,"Mixed Number","c2" 1 ,"Minute","c1" 1 ,"Minor Axis","a6" 1 ,"Minimum","b3" 1 ,"Million","c1" 1 ,"Millimetre","c1" 1 ,"Mile","c1" 1 ,"Metre","c1" 1 ,"Meridian","a6" 1 ,"Mensuration","a4","c7","d8" 1 ,"Member ***","a3" 1 ,"Mediator","b7" 1 ,"Median ***","c3" 1 ,"Mean Deviation","c3" 1 ,"Mean ***","c3","c2" 1 ,"Maximum","b3" 1 ,"Mapping ***","a3","d8" 1 ,"Mantissa","d4" 1 ,"Major Axis","a6" 1 ,"Magnitude","b4","b8" 1 ,"Magic Square","b5","c2" 1 ,"Lowest","d7","c2",1 1 ,"Lowest Common Multiple","c2" 1 ,"Lower Bound","a2","d6" 1 ,"Longitude","a5" 1 ,"Logarithm","b7","d4" 1 ,"Litre","c1" 1 ,"Linear","b7",1 1 ,"Linear Programming","b7" 1 ,"Line Segment","b7" 1 ,"Limit","c6","c7" 1 ,"Latitude ***","a5" 1 ,"Latin Square","a2","a1" 1 ,"Konigsberg Bridge Problem","b5" 1 ,"Knot","c1","a6" 1 ,"Kite","a8" 1 ,"Kilometre","c1" 1 ,"Kilogram","c1" 1 ,"Iterative","d7" 1 ,"Iterate","d7" 1 ,"Isosceles","a7" 1 ,"Isomorphism","a1","a2","a3" 1 ,"Isomorphic","a1","a2","c4" 1 ,"Isometry","a9" 1 ,"Isometric","a7","b2" 1 ,"Irrational","c2" 1 ,"Inverse ***","b5","a2","d8" 1 ,"Invariant","c1" 1 ,"Interval","c2" 1 ,"Intersection","b3" 1 ,"Interquartile Range","c3" 1 ,"Interpolation","b7","d7" 1 ,"Interest","d8" 1 ,"Intercept ***","b7" 1 ,"Integration","d1","d7","b3" 1 ,"Integral","d6" 1 ,"Integer","c2","c4" 1 ,"Inflection","a6" 1 ,"Infinite","c5" 1 ,"Inequality ***","d2" 1 ,"Index","d4" 1 ,"Independent","d9" 1 ,"Incircle","a7" 1 ,"Inch","c1" 1 ,"Improper","c2" 1 ,"Imaginary","c9" 1 ,"Image ***","d6","a9" 1 ,"Identity ***","a2" 1 ,"Icosahedron","a4" 1 ,"Hypothesis","d1" 1 ,"Hypotenuse","a7" 1 ,"Hypocycloid","b6" 1 ,"Hyperbola","a6" 1 ,"Hour","c1" 1 ,"Horizontal","b7" 1 ,"Hook's Law","b3" 1 ,"Histogram ***","b2","c3" 1 ,"Highest Common Factor","c2" 1 ,"Hexagon","a8" 1 ,"Hexadecimal","c4",1 1 ,"Hero's Formula","d8","a7" 1 ,"Heptagon","a8" 1 ,"Hemisphere","a4" 1 ,"Helix","a6" 1 ,"Hectare","c1",1 1 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,"Dividend","d9" 1 ,"Distributive Law","a1","d2" 1 ,"Distribution","c3" 1 ,"Displacement","b4" 1 ,"Discriminant","c9","d5" 1 ,"Discrete","b2","c3","d9" 1 ,"Directrion","b4" 1 ,"Directed Numbers","c5","c2" 1 ,"Direct Variation","d8" 1 ,"Digital","c2",1 1 ,"Digit","c2" 1 ,"Differentiation","b3","d1","d7" 1 ,"Difference","d8" 1 ,"Diameter","a6" 1 ,"Diagonal","a8","b7" 1 ,"Determinant","b5" 1 ,"Derivative","d6" 1 ,"Depression (Angle) ***","a5" 1 ,"Denominator","c2" 1 ,"Denary","c4" 1 ,"Degree","a5","d5",1 1 ,"Decimal","c2","c4" 1 ,"Decagon","a8" 1 ,"Data ***","c3" 1 ,"Cylinder","a4" 1 ,"Cycloid","b6" 1 ,"Cyclic","a2" 1 ,"Cusp","a6" 1 ,"Cumulative Frequency ***","c3" 1 ,"Cuboid","a4" 1 ,"Cubic","d5",1 1 ,"Cube","a4",1 1 ,"Cube Root","c2" 1 ,"Cross Section","a4" 1 ,"Cross Multiply","d7" 1 ,"Count","c2" 1 ,"Cotangent","d3" 1 ,"Cosine Rule","d3" 1 ,"Cosine ***","d3",1 1 ,"Cosecant","d3" 1 ,"Corresponding points","b7" 1 ,"Correspondence","d1","c5" 1 ,"Correlation","c3" 1 ,"Coplanar","a8" 1 ,"Convex","a6" 1 ,"Conversion","d7" 1 ,"Converse","d1" 1 ,"Continuous","b2","c3","d9" 1 ,"Construction","a5" 1 ,"Conjugate","a5","c9" 1 ,"Conic","b6","a6" 1 ,"Congruent","a4","a8" 1 ,"Cone","a4" 1 ,"Concave","a6" 1 ,"Computer","c8" 1 ,"Compound Interest","d4" 1 ,"Composite Function","d6" 1 ,"Component","b4","b8" 1 ,"Complete the Square ***","d7" 1 ,"Complementary Angles","a5" 1 ,"Complement ***","a3" 1 ,"Commutative","a3","a1" 1 ,"Common Ratio","c6",2 1 ,"Common Logarithm","d4","c7" 1 ,"Common Difference","c6" 1 ,"Common Denominator","c2" 1 ,"Combination","a3" 1 ,"Column (Matrix) ***","b5" 1 ,"Collinear","b1" 1 ,"Coefficient","c1","d5" 1 ,"Closed","a1","a2","a8","c2" 1 ,"Clockwise","a9","a5" 1 ,"Class Interval ***","c3" 1 ,"Circumference ***","a6" 1 ,"Circumcircle","a7" 1 ,"Chord ***","b7" 1 ,"Characteristic (logs) ***","d4" 1 ,"Centimetre","c1" 1 ,"Centigrade","c1" 1 ,"Catenary","a6","b8" 1 ,"Cartesian Coordinates","b1" 1 ,"Cardioid","b6" 1 ,"Cardinal Number","a3" 1 ,"Cancellation","c2","d1" 1 ,"Calculus","d1","d7" 1 ,"Calculator","c8" 1 ,"Calculate","c5",1 1 ,"Brackets","d6","d7" 1 ,"Blaise Pascal","c5" 1 ,"Bisect","a7" 1 ,"Binomial","d5" 1 ,"Binary ***","c4","c2" 1 ,"Bimodal","c3","b2" 1 ,"Billion","c1" 1 ,"Bearing ***","a5","b8" 1 ,"Base","d4" 1 ,"Bar Chart","b2","c3" 1 ,"Axis ***","b1" 1 ,"Average","c3","c7" 1 ,"Asymptote","b7" 1 ,"Associative ***","a1","a2" 1 ,"Arithmetic","c2","c6","c3" 1 ,"Argument","c9","d9" 1 ,"Argand diagrams","c9" 1 ,"Area","a8" 1 ,"Arc ***","a6" 1 ,"Apex","a4","a7" 1 ,"Antilogarithms","c7","d4" 1 ,"Anti-clockwise","a9","a5" 1 ,"Annulus","a6" 1 ,"Amplitude","b3" 1 ,"Altitude","a7","b8" 1 ,"Alternate ***","a5" 1 ,"Algorithm","d7" 1 ,"Algebra","c2","c5" 1 ,"Affine","b4","a9" 1 ,"Addition","d2",1 1 ,"Acute ***","a5" 1 ,"Acceleration","c1","b8" 1 ,"Absolute","c2" 1 ,"Abscissa ***","b1" 1 ,"Abacus","c8" 1 *z*y))*180 1 *y*z))*180 1 *y*x))*180 1 ));" ";p$;z$( 1 (x*x+y*y): 1 (j-q)/j<.05 1 (Y/X))*180 1 (ASN) function." 1 's and any side." 1 ''"To find the SINE of 1 ''"If the angle is in DEGREES ..."'"EITHER use 1 ''"(This program's 1 '" then go to the 1 '" can use the Spectrum."'''" If you do not know how the"''" trigonometry functions work," 1 '" COSa=(Z 1 '" COSa=(24^2+10^2-15^2)/(2*24*10)": 1 '" a=ACS .94 = 0.35 Rads = 20 1 '" You can use a calculator or"''" sine tables for these, or you" 1 '" Y=11.9" 1 '" Y=(Z*SINa)/SINc" 1 '" Y=(16*SIN.7 Rad)/SIN 1.05 Rad" 1 '" Y=(16*SIN 40 1 '" Use either method.": 1 '" In the following section you"''" will be set various problems." 1 '" COSa=451/480=0.94" 1 '" (1) 3 sides"'" (2) 2 sides + 1 '" Y=SQR 288.4 = 16.9" 1 "a","b","c","a" 1 "X","Y","Z","X" 1 "Side H","Side Y","Side X","Angle a","Angle b" 1 "E END OF PROGRAM" 1 "D METHODS & PROCESSES" 1 "C NUMERICAL MATHEMATICS" 1 "B GRAPHICAL METHODS" 1 "A GEOMETRY & SETS" 1 "9 VARIABLES" 1 "9 TRANSFORMATIONS" 1 "9 COMPLEX NUMBERS" 1 "8 OTHER PLANAR SHAPES" 1 "8 OTHER FUNCTIONS & FORMULAE" 1 "8 MECHANICS" 1 "8 EQUIPMENT" 1 "7 TRIANGLES" 1 "7 STRAIGHT LINES" 1 "7 APPROXIMATION METHODS" 1 "7 ALGEBRAIC METHODS" 1 "6 SEQUENCES & SERIES" 1 "6 FUNCTIONS" 1 "6 CIRCLES & CURVES" 1 "5 POLYNOMIALS" 1 "5 MATRICES & NETWORKS" 1 "5 LAWS & DEFINITIONS" 1 "5 ANGLES" 1 "4 VECTORS" 1 "4 SOLIDS" 1 "4 POWERS & EXPONENTIALS" 1 "4 BASES & MODULI" 1 "3 TRIG. FUNCTIONS" 1 "3 STATISTICS" 1 "3 LAWS & DEFINITIONS" 1 "3 FUNCTIONS & OPERATORS" 1 "2 PROPERTIES OF SETS & GROUPS" 1 "2 OPERATORS" 1 "2 NUMBERS THEMSELVES" 1 "2 CHARTS & DIAGRAMS" 1 "1 UNITS & CONSTANTS" 1 "1 LAWS & AXIOMS" 1 "1 COORDINATES" 1 "1 AXIOMS & DEFINITIONS" 1 "'z$;z$;z$: 1 "''" option now." 1 "'"OR convert to Radians first." 1 " The arc here is 1 Radius"'" The circumference is 2* 1 works to 2 decimal places. It is not as accurate as SPECTRUM's normal functions. 1 when ready 1 to start work 1 to return" 1 to return 1 to end " 1 to calculate or "'" 1 to Return ": 1 to End "'" 1 to End " 1 the value for ";q$;" " 1 out the other figures. 1 now to find SIN 30 1 not DEGREES."''"Imagine a segment where the ARC"'"is the same length as the RADIUS" 1 none of these 1 like this - 30* 1 has a conversion function built in.)" 1 function." 1 for Another 1 convert degrees to radians" 1 between"'" (3) 2 1 between 1 and 1 angle. I will work 1 all 3 sides 1 Wrong.Try again? 1 Which side ? (X,Y,Z) 1 Which angle ? (a,b,c) 1 What angle has a SINE of 0.71? 1 We can calculate all 3 sides 1 To convert Radians to Degrees EITHER use a 1 Tell me 2 sides or 1 side 1 TO SELECT 1 Sorry, I can't help you. 1 See the insert for the proofs. 1 STOP THE TAPE - PRESS ANY KEY " 1 SOLUTION OF TRIANGLES 1 SOLUTION OF TRIANGLES 1 SINES,COSINES & TANGENTS 1 SINES,COSINES & TANGENTS 1 SCRATCHPAD 1 Radians to Degrees 1 RETURN TO MAIN CHOICE 1 RADIANS = 360 DEGREES 1 Pythagoras' Theorem 1 PYTHAGORAS' THEOREM 1 PROGRAM OPTIONS 1 Length of Side ";q$;" "); 1 Length of ";q$;"? "); 1 If you ""crash"", type GOTO 7020 1 IMPOSSIBLE TRIANGLE!! 1 IMPOSSIBLE TRIANGLE!! 1 FOR NEW FIELD 1 END OF PROGRAM 1 Did you find that SIN 30 1 Demonstration, Test, or Return? PRESS 1 Carry on 1 COMPUTER USE 1 COMPUTER USE 1 Answer to 1 decimal place "; 1 Angles in degrees please 1 Angle in Radians:"; 1 Angle in Degrees:"; 1 Angle ";q$;" (degrees)? "); 1 ALL ""E"" MODE FUNCTIONS 1 A NUMBER 1 =COS a*40 =.91*40=36.4" 1 2 sides + 1 2 angles and a side 1 0 if not known 1 ";x$;" "); 1 ";q$;" (degrees) "); 1 make a circle." 1 What do you know ? 1 Use the 1 Scratchpad ? 1 STOP THE TAPE - PRESS ANY KEY 1 SIN a = 1 SEARCHING FOR ENTRIES ON...... 1 PRESS A NUMBER TO SELECT 1 Press 1 main data 1 OR use the 1 " 1 A 1 P 1