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Jul 27th, 2016
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  1. :"ACT PREP
  2. ClrHome
  3. AxesOff
  4. PlotsOff
  5. GridOff
  6. FnOff
  7. 0->Xscl
  8. 0->Yscl
  9. Lbl 0
  10. Menu("ACT PREP","DIST./PYTHAG.",A,"QUAD FORMULA",B,"SYSTEM OF EQ.",C,"TRIANGLES",D,"NUMBER THEORY",I,"FORMULAS/GRFS",L,"QUIT",Z
  11. Lbl A
  12. Menu("OPTIONS","DIST./SLOPE",1,"PYTHAGOREAN",2,"BACK",0,"QUIT",Z
  13. Lbl 1
  14. ClrHome
  15. Disp "([x1],[y1]) ([x2],[y2])","
  16. Input "[x1]=",A
  17. Input "[y1]=",B
  18. Input "[x2]=",C
  19. Input "[y2]=",D
  20. 2->dim(L1
  21. 2^^-1(A+C->L1(1
  22. 2^^-1(B+D->L1(2
  23. sqrt((A-C)^^2+(B-D)^^2->E
  24. ClrHome
  25. Disp "DIST.=
  26. Output(1,8,"sqrt(
  27. Output(1,9,E^^2
  28. Disp E
  29. Output(2,3,"OR
  30. If C-A=0
  31. Then
  32. Disp "",A
  33. Output(4,1,"EQN. IS X =
  34. Else
  35. Disp "",L1>Frac
  36. Output(3,1,"MIDPT=
  37. (D-B)/(C-A->M
  38. ~AM+B->Y
  39. Output(5,1,"EQUATION: Y=MX+B
  40. Disp "",M>Frac,Y>Frac
  41. Output(6,3,"M =
  42. Output(7,3,"B =
  43. End
  44. Pause
  45. Goto Z
  46. Lbl 2
  47. Menu("KNOWN","LEG-HYP",3,"2 LEGS",4
  48. Lbl 3
  49. ClrHome
  50. Input "LEG=",B
  51. Input "HYP=",A
  52. If B>A
  53. Then
  54. Disp "NOT A TRIANGLE
  55. Pause
  56. Goto A
  57. End
  58. Output(4,1,"HYP=sqrt(
  59. Output(4,7,A^^2-B^^2
  60. Disp "","","",sqrt(A^^2-B^^2
  61. Output(6,1,"OR
  62. Pause
  63. Goto Z
  64. Lbl 4:ClrHome
  65. Input "LEG 1=",B
  66. Input "LEG 2=",C
  67. Output(4,1,"HYP=sqrt(
  68. Output(4,7,B^^2+C^^2
  69. Disp "","","",sqrt(B^^2+C^^2
  70. Output(6,1,"OR
  71. Pause
  72. Goto Z
  73. Lbl B
  74. ClrHome
  75. FnOff
  76. Disp "AX^^2+BX+C=0
  77. Lbl G
  78. Input "A (!=0) =",A
  79. If A=0
  80. Goto G
  81. Input "B=",B
  82. Input "C=",C
  83. B^^2-4AC->D
  84. ~B/(2A->L6(1
  85. AL6(1)^^2+BL6(1)+C->L6(2
  86. ClrDraw
  87. Text(1,1,"DISCRIMINANT =
  88. Text(1,55,D
  89. Text(8,1,"ZEROS:
  90. Text(15,1,"---------------------------------------
  91. If D>0
  92. Goto J
  93. If D<0
  94. Goto H
  95. Text(24,1,"DOUBLE ZERO =
  96. Text(24,50,~B/(2A
  97. Text(57,67,"<ENTER>
  98. Text(47,1,"VERTEX = (",L6(1),", ",L6(2),")
  99. Pause
  100. Goto Z
  101. Lbl J
  102. .5A^^-1(~B+sqrt(D->X
  103. .5A^^-1(~B-sqrt(D->Y
  104. Text(24,1,"REAL ZEROS =
  105. Text(24,47,X
  106. Text(31,47,Y
  107. Text(57,67,"<ENTER>
  108. Text(47,1,"VERTEX = (",L6(1),", ",L6(2),")
  109. Pause
  110. Goto Z
  111. Lbl H
  112. ~B/(2A->L5(1
  113. sqrt(~D)/(2A->L5(2
  114. round(L5,5->L5
  115. Text(24,1,"COMPLEX ZEROS
  116. Text(31,10,L5(1
  117. Text(31,39,"+
  118. Text(31,44,L5(2
  119. Text(31,72,"[i]
  120. Text(38,10,L5(1
  121. Text(38,39,"-
  122. Text(38,44,L5(2
  123. Text(38,72,"[i]
  124. Text(57,67,"<ENTER>
  125. Text(47,1,"VERTEX = (",L6(1),", ",L6(2),")
  126. Pause
  127. Goto Z
  128. Lbl C
  129. ClrHome
  130. Input "HOW MANY? ",N
  131. Lbl N
  132. ClrHome
  133. {N,N->dim([A]
  134. {N,1->dim([B]
  135. For(theta,1,N
  136. ClrHome
  137. Output(1,1,"EQN:
  138. Output(1,6,theta
  139. Disp "
  140. If N=2
  141. Disp "AX + BY = C
  142. If N=3
  143. Disp "AX + BY + CZ = D
  144. Input "A = ",X
  145. X->[A](theta,1
  146. Input "B = ",X
  147. X->[A](theta,2
  148. If N=2
  149. Then
  150. Input "C = ",X
  151. X->[B](theta,1
  152. End
  153. If N=3
  154. Then
  155. Input "C = ",X
  156. X->[A](theta,3
  157. Input "D = ",X
  158. X->[B](theta,1
  159. End
  160. End
  161. If 0=det([A]
  162. Then
  163. ClrHome
  164. Disp "NO SOLUTION
  165. Disp "DETERMINANT = 0
  166. Pause
  167. Goto 0
  168. End
  169. ClrHome
  170. If 0=[B](1,1)*[A](2,1)-[B](2,1)*[A](1,1
  171. Then
  172. Disp "INF. SOLUTIONS
  173. Pause
  174. Goto 0
  175. End
  176. [A]^^-1[B]->[C]
  177. N->dim(L1
  178. For(theta,1,N
  179. [C](theta,1->L1(theta
  180. [C](theta,1->L1(theta
  181. End
  182. If N=2
  183. Then
  184. Disp "(X,Y) =
  185. Disp L1
  186. Pause L1>Frac
  187. End
  188. If N=3
  189. Then
  190. Disp "(X,Y,Z) =
  191. Disp L1
  192. Pause L1>Frac
  193. End
  194. Goto Z
  195. Lbl D
  196. ClrHome
  197. Degree
  198. Menu("GIVEN","ASA",5,"AAS",6,"SAS",7,"SSS",8,"BACK",0,"QUIT",Z
  199. Lbl 5
  200. ClrHome
  201. Input "ANGLE=",A
  202. Input "SIDE=",E
  203. Input "ANGLE=",C
  204. 180-A-C->B
  205. Esin(A)/sin(B->D
  206. Esin(C)/sin(B->F
  207. Goto E
  208. Lbl 6
  209. ClrHome
  210. Input "ANGLE=",A
  211. Input "ANGLE=",B
  212. Input "SIDE=",D
  213. 180-A-B->C
  214. Dsin(B)/sin(A->E
  215. Dsin(C)/sin(A->F
  216. Goto E
  217. Lbl 7
  218. ClrHome
  219. Input "SIDE=",E
  220. Input "ANGLE=",A
  221. Input "SIDE=",F
  222. E^^2+F^^2-2EFcos(A->Q
  223. If Q<=0
  224. Goto U
  225. sqrt(Q->D
  226. (E^^2-D^^2-F^^2)/(~2DF->Q
  227. If 1<abs(Q
  228. Goto U
  229. cos^-1(Q->B
  230. 180-A-B->C
  231. Goto E
  232. Lbl 8
  233. ClrHome
  234. Input "SIDE=",D
  235. Input "SIDE=",E
  236. Input "SIDE=",F
  237. If D+E<=F or E+F<=D or D+F<=E
  238. Goto U
  239. cos^-1((D^^2-E^^2-F^^2)/(~2EF->A
  240. cos^-1((E^^2-D^^2-F^^2)/(~2DF->B
  241. 180-A-B->C
  242. Goto E
  243. Lbl U
  244. ClrHome
  245. Pause "NO TRIANGLE
  246. Goto D
  247. Lbl Y
  248. ClrHome
  249. 90->C
  250. sqrt((F^^2-D^^2->E
  251. 90-A->B
  252. Goto 6
  253. Lbl 9
  254. ClrHome
  255. sin^-1(D^^-1Fsin(A->C
  256. 180-A-C->B
  257. Dsin(B)/sin(A->E
  258. Goto 6
  259. Lbl E
  260. AxesOff
  261. FnOff
  262. ClrDraw
  263. Text(5,5,"ANGLE
  264. Text(5,60,"SIDE
  265. Text(12,5,"-----
  266. Text(12,60,"----
  267. Text(18,5,"1= ",A
  268. Text(18,60,"1= ",D
  269. Text(25,5,"2= ",B
  270. Text(25,60,"2= ",E
  271. Text(32,5,"3= ",C
  272. Text(32,60,"3= ",F
  273. .5EFsin(A->Z
  274. Text(45,5,"AREA =",Z
  275. Text(55,5,"<ENTER>
  276. Pause
  277. AxesOn
  278. ClrDraw
  279. FnOn
  280. Goto Z
  281. Lbl I
  282. Menu("NUMBER THEORY","FACTORIAL",S,"LCM / GCD",T,"PERM./COMB.",V,"PRIME FACTORS",W,"BACK",0,"QUIT",Z
  283. Lbl S
  284. ClrHome
  285. Disp "FACTORIAL N!
  286. Disp "----------------
  287. Disp "ENTER N
  288. Input "(N<70) -> ",N
  289. Disp "",N!
  290. Output(6,1,N
  291. Output(6,3,"!=
  292. Pause
  293. Goto Z
  294. Lbl T
  295. ClrHome
  296. Disp "LCM / GCD
  297. Disp "----------------
  298. Input "1ST NUM -> ",N
  299. Input "2ND NUM -> ",M
  300. lcm(N,M->A
  301. gcd(N,M->B
  302. Disp "",A,B
  303. Output(6,1,"LCM =
  304. Output(7,1,"GCD =
  305. Pause
  306. Goto Z
  307. Lbl V
  308. ClrHome
  309. Disp "PERM./COMB.
  310. Input "N = ",N
  311. Input "R = ",R
  312. N nPr R->A
  313. N nCr R->B
  314. Disp "",A,"",B
  315. Output(4,1,"[n]P[r] =
  316. Output(6,1,"[n]C[r] =
  317. Pause
  318. Goto Z
  319. Lbl W
  320. ClrHome
  321. 20->dim(|LPR
  322. Fill(0,|LPR
  323. Disp "PRIME FACTORS:
  324. Disp "----------------
  325. 1->I
  326. 2->Q
  327. Input "NUMBER ",N
  328. ClrHome
  329. Disp "PRIME FACTORS OF","
  330. Disp "----------------
  331. Output(2,3,N
  332. Output(2,10,"ARE:
  333. Lbl M
  334. If 0=fPart(N/Q
  335. Then
  336. Q->|LPR(I
  337. I+1->I
  338. N/Q->N
  339. Else
  340. Q+1->Q
  341. End
  342. If Q<=N
  343. Goto M
  344. If N!=1
  345. N->|LPR(I
  346. For(J,1,20
  347. If 0=|LPR(J
  348. Goto X
  349. End
  350. Lbl X
  351. J-1->dim(|LPR
  352. If 1=dim(|LPR
  353. Disp "PRIME
  354. Disp |LPR
  355. Pause
  356. Goto Z
  357. Lbl L
  358. AxesOff
  359. FnOff
  360. Menu("FORMULAS","ALG/GEO/SEQ.",P,"CONICS",Q,"TRIG./TRI.",R,"CONVERSIONS",theta,"PARENT GRAPHS",O,"BACK",0,"QUIT",Z
  361. Lbl P
  362. ClrDraw
  363. Text(1,1,"SLOPE: M = ([y2]-[y1])/([x2]-[x1])
  364. Text(8,1,"MIDPT: ([x1]+[x2])/2, ([y1]+[y2])/2
  365. Text(15,1,"LINES: Y = MX + B AX + BY = C
  366. Text(22,25,"Y - [y1] = M(X - [x1])
  367. Text(29,1,"QUAD: Y = AX^^2+BX+C
  368. Text(36,25,"Y = A(X-H)^^2+K
  369. Text(42,1,"FOR:X=[~B+/-sqrt(B^^2-4AC)]/2A
  370. Text(49,1,"VERTEX: X=~B/2A F(~B/2A)
  371. Text(57,67,"<ENTER>
  372. Pause
  373. ClrDraw
  374. Text(1,1,"D = RT (AB)^^2=A^^2B^^2
  375. Text(10,1,"X^^2X^^3=X (X^^2)^^3=X
  376. Text(8,25,"5
  377. Text(8,63,"6
  378. Text(19,1,"I=PRT A=P[|e]
  379. Text(28,1,"A=P(1+R/N)
  380. Text(17,54,"RT
  381. Text(26,39,"NT
  382. Text(35,1,"X^^-1 =1/X 1/X^^-1 = X
  383. Text(42,1,"DOMAIN = ALL REALS EXCEPT:
  384. Text(49,1,"1-DIVISION BY 0
  385. Text(56,1,"2-EVEN RTS OF NEG.
  386. Text(57,67,"<ENTER>
  387. Pause
  388. ClrDraw
  389. Text(1,1,"SPECIAL FACTORS
  390. Text(7,1,"--------------------------------
  391. Text(13,1,"X^^2-(A+B)X+AB = (X-A)(X-B)
  392. Text(20,1,"A^^2-B^^2 = (A+B)(A-B)
  393. Text(27,1,"A^^3-B^^3 = (A-B)(A^^2+AB+B^^2)
  394. Text(34,1,"A^^3+B^^3 = (A+B)(A^^2-AB+B^^2)
  395. Text(42,1,"A - B = (A^^2+B^^2)(A+B)(A-B)
  396. Text(40,5,"4
  397. Text(40,18,"4
  398. Text(49,1,"A^^2+B^^2 = NONE
  399. Text(57,1,"A + B = NONE
  400. Text(55,5,"4
  401. Text(55,18,"4
  402. Text(57,67,"<ENTER>
  403. Pause
  404. ClrDraw
  405. Text(1,1,"IMAGINARY POWERS
  406. Text(10,1,"[i]=sqrt(~1) [i]^^2=~1
  407. Text(20,1,"[i]^^3=~[i] [i] =1
  408. Text(18,34,"4
  409. Text(57,67,"<ENTER>
  410. Pause
  411. ClrDraw
  412. Text(1,1,"ARITHMETIC SEQ./SERIES
  413. Text(8,4,"A = A + (N-1)D
  414. Text(11,8,"N
  415. Text(17,4,"S = (N/2)[2A + (N-1)D]
  416. Text(20,8,"N
  417. Text(27,1,"GEOMETRIC SEQ./SERIES
  418. Text(35,4,"A = AR
  419. Text(37,8,"N
  420. Text(33,26,"N-1
  421. Text(43,4,"S = A(1 - R )/(1 - R)
  422. Text(41,39,"N-1
  423. Text(45,8,"N
  424. Text(52,4,"S = A/(1 - R) ~1<R<1
  425. Text(57,67,"<ENTER>
  426. Pause
  427. ClrDraw
  428. Text(1,1,"FACTORIAL
  429. Text(9,1,"[n]! = [n]([n] - 1)([n] - 2) . . . (2)(1)
  430. Text(20,1,"COMBINATION
  431. Text(34,1," nCr = -------
  432. Text(28,32,"[n]!
  433. Text(40,22,"[r]!([n]-[r])!
  434. Text(20,51,"PERMUTATION
  435. Text(34,51," nPr = ------
  436. Text(28,80,"[n]!
  437. Text(40,72,"([n] - [r])!
  438. Text(48,10,"NO ORDER
  439. Text(48,65,"ORDER
  440. Text(57,67,"<ENTER>
  441. Pause
  442. ClrDraw
  443. Text(1,1,"PASCAL'S
  444. Text(1,60,"TRIANGLE
  445. Text(1,45,"1
  446. Text(7,41,"1 1
  447. Text(13,37,"1 2 1
  448. Text(19,33,"1 3 3 1
  449. Text(25,29,"1 4 6 4 1
  450. Text(31,25,"1 5 10 10 5 1
  451. Text(37,21,"1 6 15 20 15 6 1
  452. Text(43,17,"1 7 21 35 35 21 7 1
  453. Text(49,13,"1 8 28 56 70 56 28 8 1
  454. Text(57,67,"<ENTER>
  455. Pause
  456. ClrDraw
  457. Text(1,1,"GEOMETRY FORMULAS - PG. 1
  458. Text(9,1,"CIRCLE: A = pi[R^2]
  459. Text(16,1,"CIRCLE: C = 2piR = piD
  460. Text(23,1,"SPHERE: V = (4/3)piR^^3
  461. Text(30,1,"SPHERE: SA = 4pi[R^2]
  462. Text(37,1,"CYLINDER: V = pi[R^2]H
  463. Text(44,1,"CYLINDER: SA = 2piRH + 2pi[R^2]
  464. Text(51,1,"CONE: V = (1/3)pi[R^2]H
  465. Text(57,67,"<ENTER>
  466. Pause
  467. ClrDraw
  468. Text(1,1,"GEOMETRY FORMULAS - PG. 2
  469. Text(9,1,"RECT.: A = L*W P = 2L + 2W
  470. Text(16,1,"SQR.: A = S^^2 P = 4S
  471. Text(23,1,"TRAP.: A = 0.5H(B1 + B2)
  472. Text(30,1,"RHOMBUS: A = B*H = B^^2sin(theta)
  473. Text(37,1,"PARALLELOGRAM: A = B*H
  474. Text(44,35,"A = S1*S2*sin(theta)
  475. Text(57,67,"<ENTER>
  476. Pause
  477. Goto Z
  478. Lbl O
  479. AxesOn
  480. Connected
  481. ~4.7->Xmin
  482. 4.7->Xmax
  483. 1->Xscl
  484. ~3.1->Ymin
  485. 3.1->Ymax
  486. 1->Yscl
  487. DispGraph
  488. Text(50,8,"Y = X
  489. DrawF X
  490. Text(5,10,"Y = X^^2
  491. DrawF X^^2
  492. Text(18,62,"Y = log(X)
  493. DrawF log(X
  494. Text(57,67,"<ENTER>
  495. Pause
  496. ClrDraw
  497. DispGraph
  498. Text(5,5,"Y = abs(X)
  499. DrawF abs(X
  500. Text(19,72,"Y = 1/X
  501. Text(37,1,"Y = 1/X
  502. DrawF 1/X
  503. Text(57,13,"Y = X^^3
  504. DrawF X^^3
  505. Text(57,67,"<ENTER>
  506. Pause
  507. ClrDraw
  508. ~1->Ymin
  509. DispGraph
  510. Text(1,25,"Y = e^(X)
  511. DrawF e^(X
  512. Text(1,68,"Y = 2^X
  513. DrawF 2^X
  514. Text(57,67,"<ENTER>
  515. Pause
  516. ClrDraw
  517. ~3.1->Ymin
  518. Dot
  519. Text(1,12,"Y = [X]
  520. DrawF int(X
  521. Text(9,6,"GREATEST
  522. Text(16,6,"INTEGER
  523. Text(23,6,"FUNCTION
  524. Text(34,49,"CLOSED - LEFT
  525. Text(41,52,"OPEN - RIGHT
  526. Text(57,67,"<ENTER>
  527. Pause
  528. ClrDraw
  529. Radian
  530. 0->Xmin
  531. 2pi->Xmax
  532. pi/2->Xscl
  533. ~2->Ymin
  534. 2->Ymax
  535. 1->Yscl
  536. Text(23,85,"2pi
  537. Text(23,47,"pi
  538. Text(48,2,"AMPLITUDE = 1 PERIOD = 2pi
  539. Text(9,10,"Y = sin(X)
  540. DrawF sin(X
  541. Text(9,63,"Y = cos(X)
  542. DrawF cos(X
  543. Text(57,67,"<ENTER>
  544. Pause
  545. Degree
  546. Connected
  547. AxesOff
  548. Goto Z
  549. Lbl Q
  550. ClrDraw
  551. Text(1,10,"AX^^2 + BY^^2 + CX + DY + E = 0
  552. Text(7,1,"-------------------------------
  553. Text(13,1,"If A=B ...........................
  554. Text(13,62," CIRCLE
  555. Text(20,1,"If A!=B, = SIGNS ...............
  556. Text(20,62," ELLIPSE
  557. Text(27,1,"If A, B DIFFERENT SIGNS .........
  558. Text(34,58,"HYPERBOLA
  559. Text(41,1,"If 1 SQR. TERM ...................
  560. Text(41,60," PARABOLA
  561. Text(57,67,"<ENTER>
  562. Pause
  563. ClrDraw
  564. Text(1,1,"CIRCLE
  565. Text(1,33,"(X-H)^^2+(Y-K)^^2=[R^2]
  566. Text(8,1,"ELLIPSE - HORIZONTAL
  567. Text(15,1,"(X-H)^^2 (Y-K)^^2
  568. Text(21,1,"----- + ----- = 1 (A > B)
  569. Text(27,9,"A^^2
  570. Text(27,37,"B^^2
  571. Text(34,1,"VERTICAL
  572. Text(34,57,"A^^2 = B^^2 + C^^2
  573. Text(41,1,"(X-H)^^2 (Y-K)^^2
  574. Text(47,1,"----- + ----- = 1 (A > B)
  575. Text(53,9,"B^^2
  576. Text(53,37,"A^^2
  577. Text(57,67,"<ENTER>
  578. Pause
  579. ClrDraw
  580. Text(1,1,"PARABOLA - VERTICAL
  581. Text(7,1,"(X-H)^^2 = 4A(Y-K) AT (H, K)
  582. Text(13,7,"X^^2 = 4AY AT (0, 0)
  583. Text(19,7,"DIRECTRIX: Y = ~A
  584. Text(25,7,"FOCUS = (0,A)
  585. Text(32,1,"PARABOLA - HORIZONTAL
  586. Text(38,1,"(Y-K)^^2 = 4A(X-H) AT (H, K)
  587. Text(44,7,"Y^^2 = 4AX AT (0, 0)
  588. Text(50,7,"DIRECTRIX: X = ~A
  589. Text(56,7,"FOCUS = (A, 0)
  590. Text(57,67,"<ENTER>
  591. Pause
  592. ClrDraw
  593. Text(1,1,"HYPERBOLA - HORIZONTAL
  594. Text(8,1,"(X-H)^^2 (Y-K)^^2
  595. Text(14,1,"----- - ----- = 1
  596. Text(20,9,"A^^2
  597. Text(20,37,"B^^2
  598. Text(30,1,"VERTICAL
  599. Text(30,58,"C^^2 = A^^2 + B^^2
  600. Text(37,1,"(Y-K)^^2 (X-H)^^2
  601. Text(43,1,"----- - ----- = 1
  602. Text(49,9,"B^^2
  603. Text(49,37,"A^^2
  604. Text(57,67,"<ENTER>
  605. Pause
  606. Goto Z
  607. Lbl R
  608. ClrDraw
  609. Text(2,1,"SIN(X) = OPP/HYP
  610. Text(2,68,"CHIEF
  611. Text(9,1,"COS(X) = ADJ/HYP SOHCAHTOA
  612. Text(16,1,"TAN(X) = OPP/ADJ
  613. Text(23,1,"TAN(X) = SIN(X)/COS(X)
  614. Text(30,1,"CSC(X) = 1/SIN(X)
  615. Text(37,1,"SEC(X) = 1/COS(X)
  616. Text(44,1,"COT(X) = COS(X)/SIN(X)
  617. Text(51,1,"COT(X) = 1/TAN(X)
  618. Text(57,67,"<ENTER>
  619. Pause
  620. AxesOn
  621. ClrDraw
  622. ~1->Xmin
  623. 1->Xmax
  624. 0->Xscl
  625. ~1->Ymin
  626. 1->Ymax
  627. 0->Yscl
  628. Text(8,10,"SIN(X)
  629. Text(15,10,"CSC(X)
  630. Text(40,10,"TAN(X)
  631. Text(47,10,"COT(X)
  632. Text(40,60,"COS(X)
  633. Text(47,60,"SEC(X)
  634. Text(12,56,"ALL ARE +
  635. Text(23,53,"I
  636. Text(23,35,"II
  637. Text(33,32,"III
  638. Text(33,51,"IV
  639. Text(57,67,"<ENTER>
  640. Pause
  641. 0->Xmin
  642. 14.58064516->Xmax
  643. 0->Xscl
  644. 0->Ymin
  645. 10->Ymax
  646. 0->Yscl
  647. Circle(0,0,8,{[i]
  648. Line(0,0,6.900961,4.0322581
  649. Line(0,0,5.7391901,5.483871
  650. Line(0,0,3.8778312,6.9354839
  651. Text(2,4,"QUADRANT 1
  652. Text(2,46,"(cos(X),sin(X))
  653. Text(42,39,"3O
  654. Text(33,50,"(sqrt(3)/2,1/2)
  655. Text(25,25,"45
  656. Text(22,41,"(sqrt(2)/2,sqrt(2)/2)
  657. Text(19,14,"60
  658. Text(12,29,"(1/2,sqrt(3)/2)
  659. Text(41,60,"60 = pi/3
  660. Text(48,60,"45 = pi/4
  661. Text(55,60,"30 = pi/6
  662. Text(55,22,"<ENTER>
  663. Pause
  664. ClrDraw
  665. ~15.16129032->Xmin
  666. 15.16129032->Xmax
  667. 0->Xscl
  668. ~10->Ymin
  669. 10->Ymax
  670. 0->Yscl
  671. Circle(0,0,5,{[i]
  672. Line(0,~5,0,5
  673. Line(~5,0,5,0
  674. Text(23,70,"O
  675. Text(33,65,"(1,O)
  676. Text(1,34,"9O = pi/2
  677. Text(8,40,"(O,1)
  678. Text(23,7,"18O = pi
  679. Text(33,10,"(~1,O)
  680. Text(48,30,"27O = 3pi/2
  681. Text(55,38,"(O,~1)
  682. Text(57,67,"<ENTER>
  683. Pause
  684. ClrDraw
  685. AxesOff
  686. Text(1,1,"FUNC. PER. DOM. RNG.
  687. Text(10,1,"SIN(X) 2pi R ~1 <= Y <= 1
  688. Text(17,1,"COS(X) 2pi R ~1 <= Y <= 1
  689. Text(24,1,"TAN(X) pi * R
  690. Text(33,5,"* = R EXCEPT ODD MULT.
  691. Text(40,25,"OF pi/2
  692. Text(57,67,"<ENTER>
  693. Pause
  694. ClrDraw
  695. Text(1,1,"DEG. - RAD.
  696. Text(1,38,"(cos(X),sin(X))
  697. Text(10,5,"30=pi/6
  698. Text(16,5,"45=pi/4
  699. Text(22,5,"60=pi/3
  700. Text(28,5,"90=pi/2
  701. Text(34,1,"120=2pi/3
  702. Text(40,1,"135=3pi/4
  703. Text(46,1,"150=5pi/6
  704. Text(52,1,"180=pi
  705. Text(10,38,"(sqrt(3)/2,1/2)
  706. Text(16,38,"(sqrt(2)/2,sqrt(2)/2)
  707. Text(22,38,"(1/2,sqrt(3)/2)
  708. Text(28,38,"(0,1)
  709. Text(34,38,"(~1/2,sqrt(3)/2)
  710. Text(40,38,"(~sqrt(2)/2,sqrt(2)/2)
  711. Text(46,38,"(~sqrt(3)/2,1/2)
  712. Text(52,38,"(~1,0)
  713. Pause
  714. ClrDraw
  715. Text(1,1,"DEG. - RAD.
  716. Text(1,38,"(cos(X),sin(X))
  717. Text(10,1,"210=7pi/6
  718. Text(16,1,"225=5pi/4
  719. Text(22,1,"240=4pi/3
  720. Text(28,1,"270=3pi/2
  721. Text(34,1,"300=5pi/3
  722. Text(40,1,"315=7pi/4
  723. Text(46,1,"330=11pi/6
  724. Text(52,1,"360=2pi
  725. Text(10,38,"(~sqrt(3)/2,~1/2)
  726. Text(16,36,"(~sqrt(2)/2,~sqrt(2)/2)
  727. Text(22,38,"(~1/2,~sqrt(3)/2)
  728. Text(28,38,"(0,~1)
  729. Text(34,38,"(1/2,~sqrt(3)/2)
  730. Text(40,38,"(sqrt(2)/2,~sqrt(2)/2)
  731. Text(46,42,"(sqrt(3)/2,~1/2)
  732. Text(52,42,"(1,0)
  733. Text(57,67,"<ENTER>
  734. Pause
  735. ClrDraw
  736. ~1->Xmin
  737. 1->Xmax
  738. 0->Xscl
  739. ~1->Ymin
  740. 1->Ymax
  741. 0->Yscl
  742. Text(1,1,"SIN^^2(X) + COS^^2(X) = 1
  743. Text(8,1,"TAN^^2(X) + 1 = SEC^^2(X)
  744. Text(15,1,"1 + COT^^2(X) = CSC^^2(X)
  745. Text(25,1,"PYTHAGOREAN THEOREM
  746. Text(33,7,"A^^2 + B^^2 = C^^2
  747. Line(~.1,~.6,.6,~.6
  748. Line(.6,~.6,.6,~.1
  749. Line(.6,~.1,~.1,~.6
  750. Line(.5,~.6,.5,~.5
  751. Line(.5,~.5,.6,~.5
  752. Text(38,78,"A
  753. Text(52,60,"B
  754. Text(34,56,"C
  755. Text(57,67,"<ENTER>
  756. Pause
  757. ClrDraw
  758. Text(1,1,"DOUBLE-ANGLE FORMULAS
  759. Text(10,1,"SIN(2X) = 2SIN(X) COS(X)
  760. Text(17,1,"COS(2X) = COS^^2(X) - SIN^^2(X)
  761. Text(25,1,"COS(2X) = 2 COS^^2(X) - 1
  762. Text(32,1,"COS(2X) = 1 - 2 SIN^^2(X)
  763. Text(39,40,"2TAN(X)
  764. Text(45,1,"TAN(2X) =
  765. Text(45,35,"--------
  766. Text(51,35,"1-TAN^^2(X)
  767. Text(57,67,"<ENTER>
  768. Pause
  769. ClrDraw
  770. Text(1,1,"HALF-ANGLE FORMULAS
  771. Text(10,1,"SIN(X/2) = sqrt((1-COS(X))/2)
  772. Text(17,1,"COS(X/2) = sqrt((1+COS(X))/2)
  773. Text(30,1,"TAN(X/2) = ----------------
  774. Text(25,38,"sqrt((1-COS(X))/2)
  775. Text(36,38,"sqrt((1+COS(X))/2)
  776. Text(57,67,"<ENTER>
  777. Pause
  778. ClrDraw
  779. Text(1,1,"SUM AND DIFFERENCE
  780. Text(8,1,"sin(X + Y) =
  781. Text(14,8,"sin(X)cos(Y) + cos(X)sin(Y)
  782. Text(20,1,"sin(X - Y) =
  783. Text(26,8,"sin(X)cos(Y) - cos(X)sin(Y)
  784. Text(32,1,"cos(X + Y) =
  785. Text(38,8,"cos(X)cos(Y) - sin(X)sin(Y)
  786. Text(44,1,"cos(X - Y) =
  787. Text(50,8,"cos(X)cos(Y) + sin(X)sin(Y)
  788. Text(57,67,"<ENTER>
  789. Pause
  790. ClrDraw
  791. Text(1,1,"SUM AND DIFFERENCE
  792. Text(9,1,"tan(X + Y) =
  793. Text(16,8,"tan(X) + tan(Y)
  794. Text(22,8,"-------------
  795. Text(28,8,"1 - tan(X)tan(Y)
  796. Text(38,1,"tan(X - Y) =
  797. Text(45,8,"tan(X) - tan(Y)
  798. Text(51,8,"-------------
  799. Text(57,8,"1 + tan(X)tan(Y)
  800. Text(57,67,"<ENTER>
  801. Pause
  802. ClrDraw
  803. Text(1,1,"LAW OF SINES
  804. Text(9,1," sin(A) sin(B) sin(C)
  805. Text(15,1," ----- = ----- = -----
  806. Text(20,13,"[|a] [|b] [|c]
  807. Text(29,1,"LAW OF COSINES
  808. Text(36,1," [|c]^^2 = [|a]^^2 + [|b]^^2 - 2[|a][|b]*cos(C)
  809. Text(43,1," [|b]^^2 = [|a]^^2 + [|c]^^2 - 2[|a][|c]*cos(B)
  810. Text(50,1," [|a]^^2 = [|b]^^2 + [|c]^^2 - 2[|b][|c]*cos(A)
  811. Text(57,67,"<ENTER>
  812. Pause
  813. ClrDraw
  814. Text(1,1,"INVERSE TRIG. FUNCTIX)S
  815. Text(10,1,"FUNC.
  816. Text(10,25,"DEF. ANGLES
  817. Text(10,75,"QUAD.
  818. Text(19,1,"SIN^^-1
  819. Text(19,20,"~pi/2 <= theta <= pi/2
  820. Text(19,78,"4, 1
  821. Text(27,1,"TAN^^-1
  822. Text(27,20,"~pi/2 <= theta <= pi/2
  823. Text(27,78,"4, 1
  824. Text(35,1,"COS^^-1
  825. Text(35,25,"0 <= theta <= pi
  826. Text(35,78,"1, 2
  827. Text(57,67,"<ENTER>
  828. Pause
  829. ClrDraw
  830. 0->Xmin
  831. 1->Xmax
  832. 0->Xscl
  833. 0->Ymin
  834. 1->Ymax
  835. 0->Yscl
  836. Text(1,1,"SPECIAL RT. TRIANGLES
  837. Text(8,10,"30-60-90 45-45-90
  838. Text(15,10,"1-sqrt(3)-2 1-1-sqrt(2)
  839. Line(.05,.25,.45,.25
  840. Line(.45,.25,.45,.55
  841. Line(.45,.55,.05,.25
  842. Text(48,18,"sqrt(3)
  843. Text(35,46,"1
  844. Text(27,24,"2
  845. Line(.65,.25,.9,.25
  846. Line(.9,.25,.9,.6
  847. Line(.9,.6,.65,.25
  848. Text(48,73,"1
  849. Text(33,88,"1
  850. Text(28,62,"sqrt(2)
  851. Text(57,67,"<ENTER>
  852. Pause
  853. ClrDraw
  854. Text(1,1,"MORE RIGHT TRIANGLES
  855. Text(10,10,"3-4-5
  856. Text(10,50,"5-12-13
  857. Text(17,10,"7-24-25
  858. Text(17,50,"8-15-17
  859. Text(24,10,"9-40-41
  860. Text(24,50,"11-60-61
  861. Text(31,10,"12-35-37
  862. Text(31,50,"13-84-85
  863. Text(38,10,"16-63-65
  864. Text(38,50,"20-21-29
  865. Text(48,23,"+ MULTIPLES
  866. Text(57,67,"<ENTER>
  867. Pause
  868. ClrDraw
  869. Text(1,1,"TRIANGLE AREAS
  870. Text(10,1,"A = (1/2)BH
  871. Text(17,1,"A = (1/2)[|a][|b]*sin(C)
  872. Text(24,33,"[|a]^^2*sin(B)*sin(C)
  873. Text(30,1,"A = (1/2)---------------
  874. Text(36,50,"sin(A)
  875. Text(43,1,"HERON'S FORMULA
  876. Text(50,5,"A = sqrt(S(S-[|a])(S-[|b])(S-[|c]))
  877. Text(57,5,"S = ([|a] + [|b] + [|c])/2
  878. Text(57,67,"<ENTER>
  879. Pause
  880. Goto Z
  881. Lbl theta
  882. ClrDraw
  883. Text(1,1,"LENGTH
  884. Text(10,1,"1 FT = 12 IN
  885. Text(16,1,"1 YD = 3 FT
  886. Text(22,1,"1 MI = 1760 YD
  887. Text(28,1,"1 MI = 5280 FT
  888. Text(34,1,"1 N.MI = 1.15 MI
  889. Text(40,1,"1 LEAGUE = 3 MI
  890. Text(46,1,"1 FATHOM = 6 FT
  891. Text(52,1,"1 ROD = 16.5 FT
  892. Text(10,49,"1 IN = 2.54 CM
  893. Text(16,49,"1 M = 39.37 IN
  894. Text(22,53,"1 KM = .62 MI)
  895. Text(28,51,"1 MI = 1.58 KM
  896. Text(57,67,"<ENTER>
  897. Pause
  898. ClrDraw
  899. Text(1,1,"AREA - PG. 1
  900. Text(10,1,"1 SQ FT = 144 SQ IN
  901. Text(17,1,"1 SQ YD = 9 SQ FT
  902. Text(24,1,"1 ACRE = 4840 SQ YD
  903. Text(31,1,"1 ACRE = 43,560 SQ FT
  904. Text(38,1,"1 SQ MI = 27,878,400 SQ FT
  905. Text(57,67,"<ENTER>
  906. Pause
  907. ClrDraw
  908. Text(1,1,"AREA - PG. 2
  909. Text(10,1,"1 SQ IN = 6.4516 SQ CM
  910. Text(17,1,"1 SQ METER = 10,000 SQ CM
  911. Text(24,1,"1 SQ METER = 1.196 SQ YD
  912. Text(31,1,"1 SQ YD = .836 SQ METER
  913. Text(57,67,"<ENTER>
  914. Pause
  915. ClrDraw
  916. Text(1,1,"VOLUME - PG. 1
  917. Text(10,1,"1 T = 3 [t]
  918. Text(17,1,"1 CUP = 16 T
  919. Text(24,1,"1 PT = 2 CUP
  920. Text(31,1,"1 QT = 2 PT
  921. Text(38,1,"1 GAL = 4 QT
  922. Text(45,1,"1 QT = 0.946 LITER
  923. Text(52,1,"1 LITER = 1000 ML
  924. Text(10,34,"1 BUSHEL = 4 PECKS
  925. Text(17,46,"1 PECK = 8 QTS
  926. Text(57,67,"<ENTER>
  927. Pause
  928. ClrDraw
  929. Text(1,1,"VOLUME - PG. 2
  930. Text(10,1,"1 CU FT = 1728 CU IN
  931. Text(17,1,"1 CU YD = 27 CU FT
  932. Text(24,1,"1 CU YD = 46,656 CU IN
  933. Text(31,1,"1 CU IN = 16.387 CU CM
  934. Text(57,67,"<ENTER>
  935. Pause
  936. ClrDraw
  937. Text(1,1,"WEIGHT
  938. Text(10,1,"1 OZ = 28.35 GM
  939. Text(17,1,"1 LB = 16 OZ
  940. Text(24,1,"1 TON = 2000 LB
  941. Text(31,1,"1 METRIC TON = 2200 LB
  942. Text(38,1,"1 KG = 2.2 LB
  943. Text(45,1,"1 LB = .45 KG
  944. Text(52,1,"1 LB = 453.6 GM
  945. Pause
  946. ClrDraw
  947. Text(1,1,"TEMPERATURE
  948. Text(10,1,"C = (5/9)(F - 32)
  949. Text(17,1,"F = (9/5)C + 32
  950. Text(26,1,"KELVIN = C + 273
  951. Text(57,67,"<ENTER>
  952. Pause
  953. Lbl Z
  954. AxesOn
  955. ClrHome
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