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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= 
    						
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