1 <?xml version="1.0" encoding="UTF-8"?>
2 
3 
4 <!--***********************************************************
5  *
6  * Licensed to the Apache Software Foundation (ASF) under one
7  * or more contributor license agreements.  See the NOTICE file
8  * distributed with this work for additional information
9  * regarding copyright ownership.  The ASF licenses this file
10  * to you under the Apache License, Version 2.0 (the
11  * "License"); you may not use this file except in compliance
12  * with the License.  You may obtain a copy of the License at
13  *
14  *   http://www.apache.org/licenses/LICENSE-2.0
15  *
16  * Unless required by applicable law or agreed to in writing,
17  * software distributed under the License is distributed on an
18  * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
19  * KIND, either express or implied.  See the License for the
20  * specific language governing permissions and limitations
21  * under the License.
22  *
23  ***********************************************************-->
24 
25 
26 
27 <helpdocument version="1.0">
28 <meta>
29 <topic id="textsbasicshared03080104xml" indexer="include" status="PUBLISH">
30 <title id="tit" xml-lang="en-US">Tan Function [Runtime]</title>
31 <filename>/text/sbasic/shared/03080104.xhp</filename>
32 </topic>
33 <history>
34 <created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created>
35 <lastedited date="2006-12-15T09:15:53">converted from old format - fpe</lastedited>
36 </history>
37 </meta>
38 <body>
39 <section id="tan">
40 <bookmark xml-lang="en-US" branch="index" id="bm_id3148550"><bookmark_value>Tan function</bookmark_value>
41 </bookmark>
42 <paragraph role="heading" id="hd_id3148550" xml-lang="en-US" level="1" l10n="U" oldref="1"><link href="text/sbasic/shared/03080104.xhp" name="Tan Function [Runtime]">Tan Function [Runtime]</link></paragraph>
43 <paragraph role="paragraph" id="par_id3148663" xml-lang="en-US" l10n="CHG" oldref="2">Determines the tangent of an angle. The angle is specified in radians.<comment>i71396</comment></paragraph>
44 </section>
45 <paragraph role="paragraph" id="par_id3153379" xml-lang="en-US" l10n="U" oldref="3">Using the angle Alpha, the Tan Function calculates the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right-angled triangle.</paragraph>
46 <paragraph role="paragraph" id="par_id3154366" xml-lang="en-US" l10n="U" oldref="4">Tan(Alpha) = side opposite the angle/side adjacent to angle</paragraph>
47 <paragraph role="heading" id="hd_id3145174" xml-lang="en-US" level="2" l10n="U" oldref="5">Syntax:</paragraph>
48 <paragraph role="paragraph" id="par_id3151042" xml-lang="en-US" l10n="U" oldref="6">Tan (Number)</paragraph>
49 <paragraph role="heading" id="hd_id3156214" xml-lang="en-US" level="2" l10n="U" oldref="7">Return value:</paragraph>
50 <paragraph role="paragraph" id="par_id3156281" xml-lang="en-US" l10n="U" oldref="8">Double</paragraph>
51 <paragraph role="heading" id="hd_id3155132" xml-lang="en-US" level="2" l10n="U" oldref="9">Parameters:</paragraph>
52 <paragraph role="paragraph" id="par_id3145786" xml-lang="en-US" l10n="U" oldref="10">
53 <emph>Number:</emph> Any numeric expression that you want to calculate the tangent for (in radians).</paragraph>
54 <paragraph role="paragraph" id="par_id3153728" xml-lang="en-US" l10n="U" oldref="11">To convert degrees to radians, multiply by Pi/180. To convert radians to degrees, multiply by 180/Pi.</paragraph>
55 <paragraph role="paragraph" id="par_id3155414" xml-lang="en-US" l10n="CHG" oldref="12">degrees=(radiant*180)/Pi</paragraph>
56 <paragraph role="paragraph" id="par_id3146975" xml-lang="en-US" l10n="CHG" oldref="13">radiant=(degrees*Pi)/180</paragraph>
57 <paragraph role="paragraph" id="par_id3147434" xml-lang="en-US" l10n="U" oldref="14">Pi is approximately 3.141593.</paragraph>
58 <embed href="text/sbasic/shared/00000003.xhp#errorcode"/>
59 <embed href="text/sbasic/shared/00000003.xhp#err5"/>
60 <paragraph role="heading" id="hd_id3149483" xml-lang="en-US" level="2" l10n="U" oldref="15">Example:</paragraph>
61 <paragraph role="paragraph" id="par_id3148646" xml-lang="en-US" l10n="U" oldref="16">REM In this example, the following entry is possible for a right-angled triangle:</paragraph>
62 <paragraph role="paragraph" id="par_id3150012" xml-lang="en-US" l10n="U" oldref="17">REM The side opposite the angle and the angle (in degrees) to calculate the length of the side adjacent to the angle:</paragraph>
63 <paragraph role="paragraph" id="par_id3151115" xml-lang="en-US" l10n="U" oldref="18">Sub ExampleTangens</paragraph>
64 <paragraph role="paragraph" id="par_id3153158" xml-lang="en-US" l10n="U" oldref="19">REM Pi = 3.1415926 is a pre-defined variable</paragraph>
65 <paragraph role="paragraph" id="par_id3145800" xml-lang="en-US" l10n="U" oldref="20">Dim d1 as Double</paragraph>
66 <paragraph role="paragraph" id="par_id3150417" xml-lang="en-US" l10n="U" oldref="21">Dim dAlpha as Double</paragraph>
67 <paragraph role="paragraph" id="par_id3145252" xml-lang="en-US" l10n="U" oldref="22">d1 = InputBox$ ("Enter the length of the side opposite the angle: ","opposite")</paragraph>
68 <paragraph role="paragraph" id="par_id3149582" xml-lang="en-US" l10n="U" oldref="23">dAlpha = InputBox$ ("Enter the Alpha angle (in degrees): ","Alpha")</paragraph>
69 <paragraph role="paragraph" id="par_id3154016" xml-lang="en-US" l10n="U" oldref="24">Print "the length of the side adjacent the angle is"; (d1 / tan (dAlpha * Pi / 180))</paragraph>
70 <paragraph role="paragraph" id="par_id3154731" xml-lang="en-US" l10n="U" oldref="25">End Sub</paragraph>
71 </body>
72 </helpdocument>
73