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If not, see 26 * <http://www.openoffice.org/license.html> 27 * for a copy of the LGPLv3 License. 28 * 29 ************************************************************************--> 30 31<helpdocument version="1.0"> 32<meta> 33<topic id="textsbasicshared03080103xml" indexer="include" status="PUBLISH"> 34<title id="tit" xml-lang="en-US">Sin Function [Runtime]</title> 35<filename>/text/sbasic/shared/03080103.xhp</filename> 36</topic> 37<history> 38<created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created> 39<lastedited date="2004-08-24T14:25:31">converted from old format - fpe</lastedited> 40</history> 41</meta> 42<body> 43<section id="sin"> 44<bookmark xml-lang="en-US" branch="index" id="bm_id3153896"><bookmark_value>Sin function</bookmark_value> 45</bookmark> 46<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> 47<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> 48</section> 49<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> 50<paragraph role="paragraph" id="par_id3148798" xml-lang="en-US" l10n="U" oldref="4">Sin(Alpha) = side opposite the angle/hypotenuse</paragraph> 51<paragraph role="heading" id="hd_id3147230" xml-lang="en-US" level="2" l10n="U" oldref="5">Syntax:</paragraph> 52<paragraph role="paragraph" id="par_id3154909" xml-lang="en-US" l10n="U" oldref="6">Sin (Number)</paragraph> 53<paragraph role="heading" id="hd_id3156214" xml-lang="en-US" level="2" l10n="U" oldref="7">Return value:</paragraph> 54<paragraph role="paragraph" id="par_id3150870" xml-lang="en-US" l10n="U" oldref="8">Double</paragraph> 55<paragraph role="heading" id="hd_id3155132" xml-lang="en-US" level="2" l10n="U" oldref="9">Parameters:</paragraph> 56<paragraph role="paragraph" id="par_id3145786" xml-lang="en-US" l10n="U" oldref="10"> 57<emph>Number:</emph> Numeric expression that defines the angle in radians that you want to calculate the sine for.</paragraph> 58<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> 59<paragraph role="paragraph" id="par_id3149664" xml-lang="en-US" l10n="U" oldref="12">grad=(radiant*180)/pi</paragraph> 60<paragraph role="paragraph" id="par_id3153143" xml-lang="en-US" l10n="U" oldref="13">radiant=(grad*pi)/180</paragraph> 61<paragraph role="paragraph" id="par_id3151112" xml-lang="en-US" l10n="U" oldref="14">Pi is approximately 3.141593.</paragraph> 62<embed href="text/sbasic/shared/00000003.xhp#errorcode"/> 63<embed href="text/sbasic/shared/00000003.xhp#err5"/> 64<paragraph role="heading" id="hd_id3163712" xml-lang="en-US" level="2" l10n="U" oldref="15">Example:</paragraph> 65<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> 66<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> 67<paragraph role="paragraph" id="par_id3152941" xml-lang="en-US" l10n="U" oldref="18">Sub ExampleSine</paragraph> 68<paragraph role="paragraph" id="par_id3150011" xml-lang="en-US" l10n="U" oldref="19">REM Pi = 3.1415926 is a predefined variable</paragraph> 69<paragraph role="paragraph" id="par_id3153159" xml-lang="en-US" l10n="U" oldref="20">Dim d1 as Double</paragraph> 70<paragraph role="paragraph" id="par_id3154491" xml-lang="en-US" l10n="U" oldref="21">Dim dAlpha as Double</paragraph> 71<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> 72<paragraph role="paragraph" id="par_id3148456" xml-lang="en-US" l10n="U" oldref="23">dAlpha = InputBox$ ("Enter the angle Alpha (in degrees): ","Alpha")</paragraph> 73<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> 74<paragraph role="paragraph" id="par_id3150717" xml-lang="en-US" l10n="U" oldref="25">End Sub</paragraph> 75</body> 76</helpdocument> 77