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| dexvert
| LaTeX Document (document/latex)
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key | value |
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macFileType | [TEXT] |
macFileCreator | [ttxt] |
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 5c 73 65 63 74 69 6f 6e | 7b 61 63 6f 73 2d 2d 2d |\section|{acos---|
|00000010| 41 72 63 20 43 6f 73 69 | 6e 65 7d 0d 5c 6c 61 62 |Arc Cosi|ne}.\lab|
|00000020| 65 6c 7b 66 6e 3a 61 63 | 6f 73 7d 0d 5c 69 6e 64 |el{fn:ac|os}.\ind|
|00000030| 65 78 7b 61 63 6f 73 28 | 29 7d 0d 5c 69 6e 64 65 |ex{acos(|)}.\inde|
|00000040| 78 7b 61 72 63 20 63 6f | 73 69 6e 65 7d 0d 5c 69 |x{arc co|sine}.\i|
|00000050| 6e 64 65 78 7b 69 6e 76 | 65 72 73 65 20 63 6f 73 |ndex{inv|erse cos|
|00000060| 69 6e 65 7d 0d 5c 69 6e | 64 65 78 7b 63 6f 73 69 |ine}.\in|dex{cosi|
|00000070| 6e 65 21 69 6e 76 65 72 | 73 65 7d 0d 5c 62 65 67 |ne!inver|se}.\beg|
|00000080| 69 6e 7b 72 61 69 6c 7d | 0d 41 72 63 43 6f 73 69 |in{rail}|.ArcCosi|
|00000090| 6e 65 20 3a 20 27 61 63 | 6f 73 27 20 27 28 27 20 |ne : 'ac|os' '(' |
|000000a0| 28 20 53 63 61 6c 61 72 | 20 7c 20 4d 61 74 72 69 |( Scalar| | Matri|
|000000b0| 78 20 29 20 27 29 27 20 | 3b 0d 5c 65 6e 64 7b 72 |x ) ')' |;.\end{r|
|000000c0| 61 69 6c 7d 0d 0d 5c 76 | 65 72 62 2b 61 63 6f 73 |ail}..\v|erb+acos|
|000000d0| 2b 20 72 65 74 75 72 6e | 73 20 74 68 65 20 61 72 |+ return|s the ar|
|000000e0| 63 20 63 6f 73 69 6e 65 | 20 6f 66 20 74 68 65 20 |c cosine| of the |
|000000f0| 61 72 67 75 6d 65 6e 74 | 2e 20 20 54 68 65 20 72 |argument|. The r|
|00000100| 65 74 75 72 6e 20 76 61 | 6c 75 65 0d 69 73 20 65 |eturn va|lue.is e|
|00000110| 78 70 72 65 73 73 65 64 | 20 69 6e 20 72 61 64 69 |xpressed| in radi|
|00000120| 61 6e 73 2c 20 69 6e 20 | 74 68 65 20 72 61 6e 67 |ans, in |the rang|
|00000130| 65 20 24 5b 20 30 2c 20 | 5c 70 69 20 5d 24 2e 20 |e $[ 0, |\pi ]$. |
|00000140| 49 74 20 69 73 20 61 6e | 20 65 72 72 6f 72 20 69 |It is an| error i|
|00000150| 66 20 74 68 65 0d 6d 61 | 67 6e 69 74 75 64 65 20 |f the.ma|gnitude |
|00000160| 6f 66 20 65 69 74 68 65 | 72 20 74 68 65 20 72 65 |of eithe|r the re|
|00000170| 61 6c 20 6f 72 20 63 6f | 6d 70 6c 65 78 20 70 61 |al or co|mplex pa|
|00000180| 72 74 20 6f 66 20 74 68 | 65 20 61 72 67 75 6d 65 |rt of th|e argume|
|00000190| 6e 74 20 65 78 63 65 65 | 64 73 0d 24 31 24 2e 20 |nt excee|ds.$1$. |
|000001a0| 20 49 66 20 74 68 65 20 | 61 72 67 75 6d 65 6e 74 | If the |argument|
|000001b0| 20 69 73 20 61 20 6d 61 | 74 72 69 78 2c 20 74 68 | is a ma|trix, th|
|000001c0| 65 6e 20 74 68 65 20 6f | 70 65 72 61 74 69 6f 6e |en the o|peration|
|000001d0| 20 69 73 20 70 65 72 66 | 6f 72 6d 65 64 0d 65 6c | is perf|ormed.el|
|000001e0| 65 6d 65 6e 74 20 62 79 | 20 65 6c 65 6d 65 6e 74 |ement by| element|
|000001f0| 2e 20 0d 0d 0d 5c 70 61 | 72 61 67 72 61 70 68 7b |. ...\pa|ragraph{|
|00000200| 45 78 61 6d 70 6c 65 7d | 0d 5c 69 6e 64 65 78 7b |Example}|.\index{|
|00000210| 65 78 61 6d 70 6c 65 20 | 6f 66 20 61 63 6f 73 28 |example |of acos(|
|00000220| 29 7d 0d 5c 69 6e 64 65 | 78 7b 61 63 6f 73 28 29 |)}.\inde|x{acos()|
|00000230| 21 65 78 61 6d 70 6c 65 | 7d 0d 5c 62 65 67 69 6e |!example|}.\begin|
|00000240| 7b 76 65 72 62 61 74 69 | 6d 7d 0d 3e 20 61 63 6f |{verbati|m}.> aco|
|00000250| 73 28 31 29 0d 20 20 20 | 20 20 20 20 20 30 0d 3e |s(1). | 0.>|
|00000260| 20 61 63 6f 73 28 30 29 | 0d 20 20 20 20 20 31 2e | acos(0)|. 1.|
|00000270| 35 37 0d 3e 20 61 63 6f | 73 28 2d 31 29 0d 20 20 |57.> aco|s(-1). |
|00000280| 20 20 20 33 2e 31 34 0d | 3e 20 61 63 6f 73 28 30 | 3.14.|> acos(0|
|00000290| 2e 37 30 37 2b 20 30 2e | 37 30 37 6a 29 0d 20 20 |.707+ 0.|707j). |
|000002a0| 20 20 30 2e 39 39 39 20 | 2d 20 30 2e 37 36 34 69 | 0.999 |- 0.764i|
|000002b0| 0d 3e 20 63 3d 30 2b 31 | 6a 0d 20 63 20 3d 0d 20 |.> c=0+1|j. c =. |
|000002c0| 20 20 20 20 20 20 20 30 | 20 2b 20 31 69 0d 3e 20 | 0| + 1i.> |
|000002d0| 61 63 6f 73 28 63 29 0d | 20 20 20 20 20 31 2e 35 |acos(c).| 1.5|
|000002e0| 37 20 2d 20 30 2e 38 38 | 31 69 0d 3e 20 42 20 3d |7 - 0.88|1i.> B =|
|000002f0| 20 5b 20 30 2c 20 2d 30 | 2e 35 20 3b 20 2d 30 2e | [ 0, -0|.5 ; -0.|
|00000300| 33 2b 31 6a 2c 20 30 2e | 34 2d 30 2e 30 30 33 6a |3+1j, 0.|4-0.003j|
|00000310| 5d 0d 20 42 20 3d 0d 20 | 20 20 20 20 20 20 20 20 |]. B =. | |
|00000320| 20 20 20 20 20 20 20 20 | 20 30 20 2b 20 30 69 20 | | 0 + 0i |
|00000330| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 2d 30 | | -0|
|00000340| 2e 35 20 2b 20 30 69 0d | 20 20 20 20 20 20 20 20 |.5 + 0i.| |
|00000350| 20 20 20 20 20 20 20 2d | 30 2e 33 20 2b 20 31 69 | -|0.3 + 1i|
|00000360| 20 20 20 20 20 20 20 20 | 20 20 20 20 30 2e 34 20 | | 0.4 |
|00000370| 2d 20 30 2e 30 30 33 69 | 0d 3e 20 61 63 6f 73 28 |- 0.003i|.> acos(|
|00000380| 42 29 0d 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |B). | |
|00000390| 20 20 31 2e 35 37 20 2b | 20 30 69 20 20 20 20 20 | 1.57 +| 0i |
|000003a0| 20 20 20 20 20 20 20 20 | 20 20 32 2e 30 39 20 2b | | 2.09 +|
|000003b0| 20 30 69 0d 20 20 20 20 | 20 20 20 20 20 20 20 31 | 0i. | 1|
|000003c0| 2e 37 38 20 2d 20 30 2e | 38 39 37 69 20 20 20 20 |.78 - 0.|897i |
|000003d0| 20 20 20 20 20 31 2e 31 | 36 20 2b 20 30 2e 30 30 | 1.1|6 + 0.00|
|000003e0| 33 32 37 69 0d 5c 65 6e | 64 7b 76 65 72 62 61 74 |327i.\en|d{verbat|
|000003f0| 69 6d 7d 0d 0d 53 65 65 | 20 61 6c 73 6f 3a 20 50 |im}..See| also: P|
|00000400| 61 67 65 7e 5c 70 61 67 | 65 72 65 66 7b 66 6e 3a |age~\pag|eref{fn:|
|00000410| 61 63 6f 73 68 7d 20 5c | 76 65 72 62 2b 61 63 6f |acosh} \|verb+aco|
|00000420| 73 68 28 29 2b 2c 0d 50 | 61 67 65 7e 5c 70 61 67 |sh()+,.P|age~\pag|
|00000430| 65 72 65 66 7b 66 6e 3a | 61 73 69 6e 7d 20 5c 76 |eref{fn:|asin} \v|
|00000440| 65 72 62 2b 61 73 69 6e | 28 29 2b 2c 0d 50 61 67 |erb+asin|()+,.Pag|
|00000450| 65 7e 5c 70 61 67 65 72 | 65 66 7b 66 6e 3a 61 74 |e~\pager|ef{fn:at|
|00000460| 61 6e 7d 20 5c 76 65 72 | 62 2b 61 74 61 6e 28 29 |an} \ver|b+atan()|
|00000470| 2b 2c 0d 50 61 67 65 7e | 5c 70 61 67 65 72 65 66 |+,.Page~|\pageref|
|00000480| 7b 66 6e 3a 61 74 61 6e | 32 7d 20 5c 76 65 72 62 |{fn:atan|2} \verb|
|00000490| 2b 61 74 61 6e 32 28 29 | 2b 2c 0d 50 61 67 65 7e |+atan2()|+,.Page~|
|000004a0| 5c 70 61 67 65 72 65 66 | 7b 66 6e 3a 63 6f 73 7d |\pageref|{fn:cos}|
|000004b0| 20 5c 76 65 72 62 2b 63 | 6f 73 28 29 2b 2e 0d 0d | \verb+c|os()+...|
|000004c0| 5c 6e 65 77 70 61 67 65 | 20 0d 0d 0d 0d |\newpage| .... |
+--------+-------------------------+-------------------------+--------+--------+