Sharp El531wh User Guide
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20 So lv e fo r x fir st a n d t h en s o lv e fo r y u sin g x. L ast A nsw er M em ory y = 4 ¸ xan dx = 2 + 3 O pera tio nD is p lay DEG DEG 2 3 4 Auto m atic all y r e call s t h e la st a n sw er c alc u la te d b y p re ss in g
21 The a n gle fro m a p o in t 15 m ete rs fro m a b uil d in g t o t h e h ig h est flo o r o f t h e build in g is 4 5°. H ow t a ll is t h e b uil d in g? Trig o nom etr ic F un cti o ns [DEG mode] V A PPLIC ATIO NS: Trig o no m etr ic fu nctio ns a re u se fu l in m ath em atic s a n d v ario us e n gin ee rin g calc u la tio ns. T hey a re o ft e n u se d in a stro no m ic al o bse rvatio ns, c iv il e n gi- n eerin g a n d in c alc u la tio ns invo lv in g e le ctr ic al c irc u it s , a s we ll a s in c alc u la - tio ns fo r p hysic s s u ch a s p ara b o lic m otio n a n d w ave m otio n. C alc u la te s th e s in e o f a n a n gle . C alc u la te s th e c o sin e o f a n a n gle . C alc u la te s th e ta n ge n t o f a n a n gle . 4 515 iew point 15 O pera tio nD is p lay s inq =b a t a nq =b c co sq =c a a c b q DEG T rig o no m etr ic fu nctio ns d ete rm in e t h e r a tio o f t h re e s id es o f a r ig h t t r ia n gle . T he c o m bin atio ns o f t h e t h re e s id es a re s in , c o s, a n d t a n . T heir r e la tio ns a re :
22 Arc t r igo no m etr ic fu nctio ns, t h e inve rse o f t r igo no m et- r ic fu nctio ns, a re u se d t o d ete rm in e a n a n gle fr o m r a tio s of a r ig h t t r ia n gle. T he c o m bin atio ns o f t h e t h ree s id es are s in-1, c o s-1, a n d t a n-1. T heir re la tio ns a re ; A rc Tr ig o nom etr ic F uncti o ns [DEG mode] (a rc s in e) D ete rm in es a n a n gle b ase d o n t h e r a tio b/a o f t w o s id es o f a r ig h t t r ia n gle . (a rc c o sin e) D ete rm in es a n a n gle b ase d o n t h e r a tio c/a fo r t w o s id es o f a r ig h t t r ia n gle . (a rc t a n ge n t) D ete rm in es a n a n gle b ase d o n t h e ra tio a/b fo r t w o s id es o f a r ig h t t r ia n gle . A t w hat a n gle s h o uld a n a ir p la n e c lim b in o rder to c lim b 8 0 m ete rs in 100 m ete rs? 8 0 10 0 O pera tio nD is p lay q = s in- 1b a q = c o s-1c a q = t a n-1b c c a b q DEG
23 Hyp erb olic F unctio n s T he hy p erb o li c fu nctio n is d efin ed b y u sin g n atu ra l e x po nen ts in t r igo - no m etr ic fu nctio ns. A PPLIC ATIO NS: H yp erb o lic a n d a rc hy p erb o lic fu nctio ns a re very u se fu l in e le ctr ic al e n gin ee rin g a n d p h ysic s. A rc hy p erb o li c fu nctio ns a re d efin ed by u sin g n atu ra l lo garit h m s in t r igo no - m etr ic fu nctio ns.
24 Coord in ate C onve rs io n Rectangular coordinates P (x,y) y xo y x y P (r,q) xo r Polar coordinates q C onverts re cta n gu la r c o o rd in ate s t o p o la r c o ordin ate s (x,y r, q) C onverts p o la r c o ordin ate s t o re cta n gu la r c o ordin ate s (r, q x, y) S p li t s d ata u se d fo r d ual- v aria b le d ata in put. D is p lay s r, q a n d x, y. (C x y o r r q) ¬ ¬ ¬¬ D ete rm in e t h e p o la r c o ord in ate s (r, q) w hen t h e r e cta n gu - la r c o ordin ate s o f Po in t P a re (x = 7 , y = 3 ). [ D EG m ode] A PPLIC ATIO NS: C oordin ate c o nversio n is o ft e n u se d in m ath em atic s a n d e n gin eerin g, e sp e- cia lly fo r im ped an ce c alc u la tio ns in e le ctro nic s a n d e le ctr ic al e n gin ee rin g. 7 3 7.62 3 .2 O pera tio nD is p lay DEG DEG DEG DEG ¬¬
25 Bin ary , P enta l, O cta l, D ecim al, a nd H exa d ecim al O pera tio ns ( N -B ase ) T his c alc u la to r c an p erfo rm c o nve rsio ns b etw ee n n um bers e x pre sse d in b in ary , p en ta l, o cta l, d ecim al, a n d h ex ad ecim al s y ste m s. It c an a ls o p erfo rm t h e fo ur b asic a rit h m etic o pera tio ns, c alc u la tio ns w it h p are n th ese s a n d m em ory c alc u la tio ns u sin g b in ary , p en ta l, o cta l, d ecim al, a n d h ex ad ecim al n um bers. In a d dit io n, t h e c alc u la to r c an c arr y o ut t h e l o gic al o pera tio ns A N D, O R, N O T, N EG , X O R, a n d X N O R o n b in ary , p en ta l, o cta l, a n d h ex ad ecim al n um bers. C onve rts t o t h e b in ary s y ste m . b a p pears. C onve rts t o t h e p en ta l s y ste m . P a p pears. C onve rts t o t h e o cta l s y ste m . o a p pears. C onve rts t o t h e h ex ad ecim al s y ste m . H a p pears. C onve rts t o t h e d ecim al s y ste m . b , P , o , a n d H d is a p pear fr o m t h e d is p la y . C onve rsio n is p erfo rm ed o n t h e d is p la y e d v alu e w hen t h ese k e ys a re p re sse d . O pera tio nD is p lay HEX(1AC) ÞBIN ÞPEN ÞOCT ÞDEC 1011 AND 101 = (BIN) ÞDEC DEG 3203 DEG 654 DEG DEG 1011AND_ DEG 1011AND101= DEG 1 1 A C 1011 101 O pera tio nD is p lay DEG 110101100 DEG 1AC
26 DEGSTAT Here is a t a b le o f e x am in atio n re su lt s . In put t h is d ata fo r a n aly sis . E nte rs d ata fo r s ta tis tic al c alc u la tio ns. C le ars d ata in put. S p li t s d ata u se d fo r d ual- v aria b le d ata in pu t. (U se d fo r d ual- v aria b le s ta tis tic al c alc u la tio ns.) 3 02 1002 ... O pera tio nD is p lay N o.12 34567 8 Sco re3040506070809010 0 N o. o f p u pils24 57121082 Data t a ble 1 S e le ct s in gle -v aria b le s ta tis tic s m ode T he s ta tis tic s fu nctio n is e x ce lle n t fo r a n aly zin g q uali t ie s o f a n eve n t. T ho ugh p rim arily u se d fo r e n gin ee rin g a n d m ath em atic s, t h e fu nctio n is a ls o ap plie d t o n early a ll o th er fie ld s in clu d in g e co no m ic s a n d m ed ic in e. S ta ti s tic s F un cti o n DEGSTAT Sco reN um ber o f p upil s D ATA I N PU T A N D C O RREC TIO N DEGSTAT Stat 0 DATA SET= DATA SET=
27 Calc u la te s t h e a v e ra ge v alu e o f t h e d ata ( s a m ple d ata x ). C alc u la te s t h e s ta n d ard d evia tio n fo r t h e d ata ( s a m ple d ata x ). C alc u la te s t h e s ta n d ard d evia tio n o f a d ata p o pula tio n ( s a m ple d ata x ). D is p la y s t h e n um ber o f in put d ata ( s a m ple d ata x ). C alc u la te s t h e s u m o f t h e d ata ( s a m ple d ata x ). C alc u la te s t h e s u m o f t h e d ata ( s a m ple d ata x ) r a is e d t o t h e s e co nd p o w er. L et’s c h eck t h e re su lt s b ase d o n t h e p revio us d ata . 6 9 ( ave ra ge v alu e) 17 .7 5686128 ( s ta n d ard d evia tio n) 17.5 7839583 ( s ta n d ard d evia tio n o f t h e p o pula tio n) 50 ( t o ta l c o unt o f d ata ) 3 450 ( t o ta l) N OTE: 1.Sam ple d ata refe rs t o d ata s e le cte d r a n d o m ly fro m t h e p o pula tio n. 2.Sta n d ard d evia tio n o f s a m ple s is d ete rm in ed by t h e s a m ple d ata s h if t fro m a n ave ra ge v alu e. 3.Sta n d ard d evia tio n fo r t h e p o pula tio n is s ta n d ard d evia tio n w hen th e s a m ple d ata is d eem ed a p o pula tio n ( fu ll d ata ). “ A N S” K EY S F O R 1 -V AR IA B LE S TATIS T IC S
28 DA TA C O RREC TIO N 30 40 50 2 O pera tio nD is p lay S e le ct s in gle -v aria b le s ta tis tic s m ode DEGSTAT Stat 0 DEGSTAT DATA SET= C orre ctio n a ft e r p re ssin g : C orre ctio n p rio r t o p re ssin g im med ia te ly a ft e r a d ata e n tr y : D ele te in co rre ct d ata w it h , t h en e n te r t h e c o rre ct d ata . U se t o d is p la y t h e d ata p re vio usly e n te re d . P re ss t o d is p la y d ata it e m s in a sc e n d in g ( o ld est fir st) o rd er. T o r e ve rse t h e d is p la y o rd er t o d esc e n d in g ( la te st fir st), p re ss t h e k ey. E ac h it e m is d is p la y e d w it h X n= , Y n= , o r N n= (n is t h e s e q u en tia l n um ber o f t h e d ata s e t). D is p la y t h e d ata it e m t o m odif y , in put t h e c o rr e ct v alu e, t h en p re ss . U sin g , y o u c an c o rre ct t h e v alu es o f t h e d ata s e t a ll a t o nce . • W hen s or t ap pears, m ore d ata it e m s c an b e b ro w se d b y p re ss in g o r . • T o d ele te a d ata s e t, d is p la y a n it e m o f t h e d ata s e t t o d ele te , t h en pre ss . T he d ata s e t w il l b e d ele te d . • T o a d d a n ew d ata s e t, p re ss a n d in put t h e v alu es, t h en p re ss . D ata t a ble 2 X: 30, 40, 40, 50 X: 30, 45, 45, 45, 60 DEGSTAT DATA SET= DEGSTAT DATA SET=
29 APPLIC A TIO NS: Sin gle -v aria b le s ta tis tic al c alc u la tio ns a re u se d in a b ro ad r a n ge o f fie ld s, i n clu d in g e n gin ee rin g, b u sin ess , a n d e co no m ic s. T hey a re m ost o ft e n a p plie d t o a n aly sis in a tm osp h eric o bse rv atio ns a n d p hysic s e x perim en ts , a s w ell a s fo r q u ali t y c o ntr o l in fa c to rie s. 4 5 60 3 O pera tio nD is p lay DEGSTAT X2= DEGSTAT X2= DEGSTAT N2= DEGSTAT X3=