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# formulas

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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
11. Lbl A
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
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
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
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])
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
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
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
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
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
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
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
RAW Paste Data
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