1<?xml version="1.0" encoding="UTF-8"?>
2
3<!--***********************************************************
4 *
5 * Licensed to the Apache Software Foundation (ASF) under one
6 * or more contributor license agreements.  See the NOTICE file
7 * distributed with this work for additional information
8 * regarding copyright ownership.  The ASF licenses this file
9 * to you under the Apache License, Version 2.0 (the
10 * "License"); you may not use this file except in compliance
11 * with the License.  You may obtain a copy of the License at
12 *
13 *   http://www.apache.org/licenses/LICENSE-2.0
14 *
15 * Unless required by applicable law or agreed to in writing,
16 * software distributed under the License is distributed on an
17 * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
18 * KIND, either express or implied.  See the License for the
19 * specific language governing permissions and limitations
20 * under the License.
21 *
22 ***********************************************************-->
23
24<helpdocument version="1.0">
25<meta>
26<topic id="textsbasicshared03080103xml" indexer="include" status="PUBLISH">
27<title id="tit" xml-lang="en-US">Sin Function [Runtime]</title>
28<filename>/text/sbasic/shared/03080103.xhp</filename>
29</topic>
30</meta>
31<body>
32<section id="sin">
33<bookmark xml-lang="en-US" branch="index" id="bm_id3153896">
34<bookmark_value>Sin function</bookmark_value>
35</bookmark>
36<paragraph role="heading" id="hd_id3153896" xml-lang="en-US" level="1" l10n="U" oldref="1"><link href="text/sbasic/shared/03080103.xhp" name="Sin Function [Runtime]">Sin Function [Runtime]</link></paragraph>
37<paragraph role="paragraph" id="par_id3149456" xml-lang="en-US" l10n="U" oldref="2">Returns the sine of an angle. The angle is specified in radians. The result lies between -1 and 1.</paragraph>
38</section>
39<paragraph role="paragraph" id="par_id3153379" xml-lang="en-US" l10n="U" oldref="3">Using the angle Alpha, the Sin Function returns the ratio of the length of the opposite side of an angle to the length of the hypotenuse in a right-angled triangle.</paragraph>
40<paragraph role="paragraph" id="par_id3148798" xml-lang="en-US" l10n="U" oldref="4">Sin(Alpha) = side opposite the angle/hypotenuse</paragraph>
41<paragraph role="heading" id="hd_id3147230" xml-lang="en-US" level="2" l10n="U" oldref="5">Syntax:</paragraph>
42<paragraph role="paragraph" id="par_id3154909" xml-lang="en-US" l10n="U" oldref="6">Sin (Number)</paragraph>
43<paragraph role="heading" id="hd_id3156214" xml-lang="en-US" level="2" l10n="U" oldref="7">Return value:</paragraph>
44<paragraph role="paragraph" id="par_id3150870" xml-lang="en-US" l10n="U" oldref="8">Double</paragraph>
45<paragraph role="heading" id="hd_id3155132" xml-lang="en-US" level="2" l10n="U" oldref="9">Parameters:</paragraph>
46<paragraph role="paragraph" id="par_id3145786" xml-lang="en-US" l10n="U" oldref="10">
47<emph>Number:</emph> Numeric expression that defines the angle in radians that you want to calculate the sine for.</paragraph>
48<paragraph role="paragraph" id="par_id3155413" xml-lang="en-US" l10n="U" oldref="11">To convert degrees to radians, multiply degrees by Pi/180, and to convert radians to degrees, multiply radians by 180/Pi.</paragraph>
49<paragraph role="paragraph" id="par_id3149664" xml-lang="en-US" l10n="U" oldref="12">grad=(radiant*180)/pi</paragraph>
50<paragraph role="paragraph" id="par_id3153143" xml-lang="en-US" l10n="U" oldref="13">radiant=(grad*pi)/180</paragraph>
51<paragraph role="paragraph" id="par_id3151112" xml-lang="en-US" l10n="U" oldref="14">Pi is approximately 3.141593.</paragraph>
52<embed href="text/sbasic/shared/00000003.xhp#errorcode"/>
53<embed href="text/sbasic/shared/00000003.xhp#err5"/>
54<paragraph role="heading" id="hd_id3163712" xml-lang="en-US" level="2" l10n="U" oldref="15">Example:</paragraph>
55<paragraph role="paragraph" id="par_id3149482" xml-lang="en-US" l10n="U" oldref="16">REM In this example, the following entry is possible for a right-angled triangle:</paragraph>
56<paragraph role="paragraph" id="par_id3148577" 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 hypotenuse:</paragraph>
57<paragraph role="paragraph" id="par_id3152941" xml-lang="en-US" l10n="U" oldref="18">Sub ExampleSine</paragraph>
58<paragraph role="paragraph" id="par_id3150011" xml-lang="en-US" l10n="U" oldref="19">REM Pi = 3.1415926 is a predefined variable</paragraph>
59<paragraph role="paragraph" id="par_id3153159" xml-lang="en-US" l10n="U" oldref="20">Dim d1 as Double</paragraph>
60<paragraph role="paragraph" id="par_id3154491" xml-lang="en-US" l10n="U" oldref="21">Dim dAlpha as Double</paragraph>
61<paragraph role="paragraph" id="par_id3145251" xml-lang="en-US" l10n="U" oldref="22">d1 = InputBox$ ("Enter the length of the opposite side: ","Opposite Side")</paragraph>
62<paragraph role="paragraph" id="par_id3148456" xml-lang="en-US" l10n="U" oldref="23">dAlpha = InputBox$ ("Enter the angle Alpha (in degrees): ","Alpha")</paragraph>
63<paragraph role="paragraph" id="par_id3153877" xml-lang="en-US" l10n="U" oldref="24">Print "The length of the hypotenuse is"; (d1 / sin (dAlpha * Pi / 180))</paragraph>
64<paragraph role="paragraph" id="par_id3150717" xml-lang="en-US" l10n="U" oldref="25">End Sub</paragraph>
65</body>
66</helpdocument>
67