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| dexvert
| LaTeX Document (document/latex)
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| dexvert
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key | value |
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macFileType | [TEXT] |
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|00000000| 5c 73 65 63 74 69 6f 6e | 7b 63 6f 73 20 2d 2d 2d |\section|{cos ---|
|00000010| 20 43 6f 73 69 6e 65 7d | 0d 5c 6c 61 62 65 6c 7b | Cosine}|.\label{|
|00000020| 66 6e 3a 63 6f 73 7d 0d | 5c 69 6e 64 65 78 7b 63 |fn:cos}.|\index{c|
|00000030| 6f 73 28 29 7d 0d 5c 69 | 6e 64 65 78 7b 63 6f 73 |os()}.\i|ndex{cos|
|00000040| 69 6e 65 7d 0d 5c 62 65 | 67 69 6e 7b 72 61 69 6c |ine}.\be|gin{rail|
|00000050| 7d 0d 43 6f 73 69 6e 65 | 20 3a 20 27 63 6f 73 27 |}.Cosine| : 'cos'|
|00000060| 20 27 28 27 20 28 20 53 | 63 61 6c 61 72 20 7c 20 | '(' ( S|calar | |
|00000070| 4d 61 74 72 69 78 20 29 | 20 27 29 27 20 3b 0d 5c |Matrix )| ')' ;.\|
|00000080| 65 6e 64 7b 72 61 69 6c | 7d 0d 0d 5c 76 65 72 62 |end{rail|}..\verb|
|00000090| 2b 63 6f 73 2b 20 63 61 | 6c 63 75 6c 61 74 65 73 |+cos+ ca|lculates|
|000000a0| 20 74 68 65 20 63 6f 73 | 69 6e 65 20 6f 66 20 74 | the cos|ine of t|
|000000b0| 68 65 20 61 72 67 75 6d | 65 6e 74 2c 20 77 68 69 |he argum|ent, whi|
|000000c0| 63 68 20 69 73 20 74 61 | 6b 65 6e 20 61 73 20 62 |ch is ta|ken as b|
|000000d0| 65 69 6e 67 0d 73 70 65 | 63 69 66 69 65 64 20 69 |eing.spe|cified i|
|000000e0| 6e 20 72 61 64 69 61 6e | 73 2e 20 20 49 66 20 74 |n radian|s. If t|
|000000f0| 68 65 20 61 72 67 75 6d | 65 6e 74 20 69 73 20 61 |he argum|ent is a|
|00000100| 20 6d 61 74 72 69 78 2c | 20 74 68 65 20 5c 76 65 | matrix,| the \ve|
|00000110| 72 62 2b 63 6f 73 2b 20 | 6f 70 65 72 61 74 69 6f |rb+cos+ |operatio|
|00000120| 6e 0d 69 73 20 70 65 72 | 66 6f 72 6d 65 64 20 65 |n.is per|formed e|
|00000130| 6c 65 6d 65 6e 74 20 62 | 79 20 65 6c 65 6d 65 6e |lement b|y elemen|
|00000140| 74 2e 20 20 49 66 20 74 | 68 65 20 61 72 67 75 6d |t. If t|he argum|
|00000150| 65 6e 74 20 69 73 20 63 | 6f 6d 70 6c 65 78 2c 20 |ent is c|omplex, |
|00000160| 67 69 76 65 6e 20 62 79 | 20 24 7a 24 2c 0d 74 68 |given by| $z$,.th|
|00000170| 65 6e 20 74 68 65 20 72 | 65 73 75 6c 74 20 69 73 |en the r|esult is|
|00000180| 3a 0d 0d 5c 5b 20 5c 63 | 6f 73 28 5c 52 65 28 7a |:..\[ \c|os(\Re(z|
|00000190| 29 29 20 5c 63 6f 73 68 | 28 5c 49 6d 28 7a 29 29 |)) \cosh|(\Im(z))|
|000001a0| 20 2d 6a 20 5c 73 69 6e | 28 5c 52 65 28 7a 29 29 | -j \sin|(\Re(z))|
|000001b0| 20 5c 73 69 6e 68 28 5c | 49 6d 28 7a 29 29 20 5c | \sinh(\|Im(z)) \|
|000001c0| 5d 0d 0d 5c 70 61 72 61 | 67 72 61 70 68 7b 45 78 |]..\para|graph{Ex|
|000001d0| 61 6d 70 6c 65 7d 0d 5c | 69 6e 64 65 78 7b 65 78 |ample}.\|index{ex|
|000001e0| 61 6d 70 6c 65 20 6f 66 | 20 63 6f 73 28 29 7d 0d |ample of| cos()}.|
|000001f0| 5c 69 6e 64 65 78 7b 63 | 6f 73 28 29 21 65 78 61 |\index{c|os()!exa|
|00000200| 6d 70 6c 65 7d 0d 5c 62 | 65 67 69 6e 7b 76 65 72 |mple}.\b|egin{ver|
|00000210| 62 61 74 69 6d 7d 0d 3e | 20 63 6f 73 28 30 29 0d |batim}.>| cos(0).|
|00000220| 20 20 20 20 20 20 20 20 | 31 0d 3e 20 63 6f 73 28 | |1.> cos(|
|00000230| 70 69 2f 32 29 0d 20 36 | 2e 31 32 65 2d 31 37 0d |pi/2). 6|.12e-17.|
|00000240| 3e 20 63 6f 73 28 70 69 | 29 0d 20 20 20 20 20 20 |> cos(pi|). |
|00000250| 20 2d 31 0d 3e 20 63 6f | 73 28 70 69 2f 34 29 0d | -1.> co|s(pi/4).|
|00000260| 20 20 20 20 30 2e 37 30 | 37 0d 3e 20 63 6f 73 28 | 0.70|7.> cos(|
|00000270| 31 2b 31 6a 29 0d 20 20 | 20 20 30 2e 38 33 34 20 |1+1j). | 0.834 |
|00000280| 2d 20 30 2e 39 38 39 69 | 0d 3e 20 61 20 3d 20 72 |- 0.989i|.> a = r|
|00000290| 61 6e 64 28 32 2c 35 29 | 2a 70 69 0d 20 61 20 3d |and(2,5)|*pi. a =|
|000002a0| 0d 20 20 20 20 20 33 2e | 31 34 20 20 20 20 20 20 |. 3.|14 |
|000002b0| 20 32 2e 30 33 20 20 20 | 20 20 20 30 2e 31 31 36 | 2.03 | 0.116|
|000002c0| 20 20 20 20 20 20 20 32 | 2e 30 39 20 20 20 20 20 | 2|.09 |
|000002d0| 20 30 2e 36 34 31 20 20 | 0d 20 20 20 20 20 33 2e | 0.641 |. 3.|
|000002e0| 30 36 20 20 20 20 20 20 | 20 31 2e 30 35 20 20 20 |06 | 1.05 |
|000002f0| 20 20 20 30 2e 35 30 38 | 20 20 20 20 20 20 30 2e | 0.508| 0.|
|00000300| 32 36 36 20 20 20 20 20 | 20 30 2e 35 32 36 20 20 |266 | 0.526 |
|00000310| 0d 3e 20 63 6f 73 28 61 | 29 0d 20 20 20 20 20 20 |.> cos(a|). |
|00000320| 20 2d 31 20 20 20 20 20 | 2d 30 2e 34 34 37 20 20 | -1 |-0.447 |
|00000330| 20 20 20 20 30 2e 39 39 | 33 20 20 20 20 20 2d 30 | 0.99|3 -0|
|00000340| 2e 34 39 34 20 20 20 20 | 20 20 30 2e 38 30 31 20 |.494 | 0.801 |
|00000350| 20 0d 20 20 20 2d 30 2e | 39 39 37 20 20 20 20 20 | . -0.|997 |
|00000360| 20 30 2e 35 30 31 20 20 | 20 20 20 20 30 2e 38 37 | 0.501 | 0.87|
|00000370| 34 20 20 20 20 20 20 30 | 2e 39 36 35 20 20 20 20 |4 0|.965 |
|00000380| 20 20 30 2e 38 36 35 0d | 5c 65 6e 64 7b 76 65 72 | 0.865.|\end{ver|
|00000390| 62 61 74 69 6d 7d 0d 0d | 53 65 65 20 61 6c 73 6f |batim}..|See also|
|000003a0| 3a 20 50 61 67 65 7e 5c | 70 61 67 65 72 65 66 7b |: Page~\|pageref{|
|000003b0| 66 6e 3a 61 63 6f 73 7d | 20 5c 76 65 72 62 2b 61 |fn:acos}| \verb+a|
|000003c0| 63 6f 73 28 29 2b 2c 0d | 50 61 67 65 7e 5c 70 61 |cos()+,.|Page~\pa|
|000003d0| 67 65 72 65 66 7b 66 6e | 3a 63 6f 73 68 7d 20 5c |geref{fn|:cosh} \|
|000003e0| 76 65 72 62 2b 63 6f 73 | 68 28 29 2b 2c 0d 50 61 |verb+cos|h()+,.Pa|
|000003f0| 67 65 7e 5c 70 61 67 65 | 72 65 66 7b 66 6e 3a 73 |ge~\page|ref{fn:s|
|00000400| 69 6e 7d 20 5c 76 65 72 | 62 2b 73 69 6e 28 29 2b |in} \ver|b+sin()+|
|00000410| 2c 0d 50 61 67 65 7e 5c | 70 61 67 65 72 65 66 7b |,.Page~\|pageref{|
|00000420| 66 6e 3a 74 61 6e 7d 20 | 5c 76 65 72 62 2b 74 61 |fn:tan} |\verb+ta|
|00000430| 6e 28 29 2b 2e 0d 0d 5c | 6e 65 77 70 61 67 65 0d |n()+...\|newpage.|
|00000440| 0d 0d 0d 0d | |.... | |
+--------+-------------------------+-------------------------+--------+--------+