Trigonometric functions: Difference between revisions
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(Added a bit about a difference in behavior for inverse functions) |
(→{{header|J}}: Changed inverse functions to match clarified requirements.) |
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=={{header|J}}== |
=={{header|J}}== |
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The [http://www.jsoftware.com/help/dictionary/dodot.htm circle functions] in J include trigonometric functions. |
The [http://www.jsoftware.com/help/dictionary/dodot.htm circle functions] in J include trigonometric functions. Native operation is in radians, so results in degrees involves conversion. |
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Sine, cosine, and tangent of 45 degrees |
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Here the same program is presented twice, first using only primaries, then using named definitions for components. |
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>,:(1&o. ; 2&o. ; 3 |
>,:(1&o. ; 2&o. ; 3&o.) (4%~o. 1), 180 %~ o. 45 |
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NB. ------------- program above is equivalent to program below ------------- |
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sine =: 1&o. |
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cosine =: 2&o. |
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tangent =: 3&o. |
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arcsin =: _1&o. |
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arccos =: _2&o. |
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arctan =: _3&o. |
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columns=: >@,: NB. Arrange output to look like other examples |
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rfd=: 180 %~ o. NB. Radians from degrees |
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AD=: 45 NB. Angle, in degrees |
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AR=: (o. 1)%4 NB. Same angle, in radians (pi divided by four) |
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columns (sine; cosine; tangent; arcsin; arccos; arctan) AR, rfd AD |
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Output (from either version of the program): |
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0.707107 0.707107 |
0.707107 0.707107 |
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0.707107 0.707107 |
0.707107 0.707107 |
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1 1 |
1 1 |
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Arcsine, arccosine, and arctangent of 0.5 |
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0.903339 0.903339 |
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>,:([ , 180p_1&*)&.> (_1&o. ; _2&o. ; _3&o.) 0.5 |
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0.667457 0.667457 |
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0. |
0.523599 30 |
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1.0472 60 |
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0.463648 26.5651 |
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=={{header|Java}}== |
=={{header|Java}}== |
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