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<?xml version="1.0" encoding="UTF-8"?>
<helpdocument version="1.0">
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<meta>
<topic id="textsbasicshared03080103xml" indexer="include" status="PUBLISH">
<title id="tit" xml-lang="en-US">Sin Function</title>
<filename>/text/sbasic/shared/03080103.xhp</filename>
</topic>
</meta>
<body>
<section id="sin">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153896">
<bookmark_value>Sin function</bookmark_value>
</bookmark>
<h1 id="hd_id3153896"><variable id="Sin_h1"><link href="text/sbasic/shared/03080103.xhp" name="Sin Function">Sin Function</link></variable></h1>
<paragraph id="par_id3149456" role="paragraph">Returns the sine of an angle. The angle is specified in radians. The result lies between -1 and 1.</paragraph>
</section>
<paragraph id="par_id3153379" role="paragraph" xml-lang="en-US">Using the angle Alpha, the <literal>Sin</literal> 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>
<paragraph id="par_id3148798" role="paragraph" xml-lang="en-US"><literal>Sin</literal>(Alpha) = side opposite the angle/hypotenuse</paragraph>
<embed href="text/sbasic/shared/00000003.xhp#functsyntax"/>
<bascode>
<paragraph id="par_id3154909" role="bascode" xml-lang="en-US">Sin (Number As Double) As Double</paragraph>
</bascode>
<embed href="text/sbasic/shared/00000003.xhp#functvalue"/>
<paragraph id="par_id3150870" localize="false" role="paragraph">Double</paragraph>
<embed href="text/sbasic/shared/00000003.xhp#functparameters"/>
<paragraph id="par_id3145786" role="paragraph" xml-lang="en-US"> <emph>Number:</emph> Numeric expression that defines the angle in radians that you want to calculate the sine for.</paragraph>
<paragraph id="par_id3155413" role="paragraph" xml-lang="en-US">To convert degrees to radians, multiply degrees by <literal>Pi</literal>/180, and to convert radians to degrees, multiply radians by 180/<literal>Pi</literal>.</paragraph>
<paragraph id="par_id3149664" role="paragraph" xml-lang="en-US">degrees=(radians*180)/<literal>Pi</literal></paragraph>
<paragraph id="par_id3153143" role="paragraph" xml-lang="en-US">radians=(degrees*<literal>Pi</literal>)/180</paragraph>
<paragraph id="par_id3151112" role="paragraph" xml-lang="en-US"><literal>Pi</literal> is approximately 3.141593.</paragraph>
<embed href="text/sbasic/shared/00000003.xhp#errorcode"/>
<embed href="text/sbasic/shared/00000003.xhp#err5"/>
<embed href="text/sbasic/shared/00000003.xhp#functexample"/>
<bascode>
<paragraph id="par_id3149482" role="bascode" xml-lang="en-US">' In this example, the following entry is possible for a right-angled triangle:</paragraph>
<paragraph id="par_id3148577" role="bascode" xml-lang="en-US">' The side opposite the angle and the angle (in degrees) to calculate the length of the hypotenuse:</paragraph>
<paragraph id="par_idm1341562464" role="bascode" localize="false" xml-lang="en-US">Sub ExampleSine</paragraph>
<paragraph id="par_id3150011" role="bascode" xml-lang="en-US">' Pi = 3.1415926 is a predefined variable</paragraph>
<paragraph id="par_idm1341559440" role="bascode" localize="false" xml-lang="en-US">Dim d1 As Double</paragraph>
<paragraph id="par_idm1341558208" role="bascode" localize="false" xml-lang="en-US">Dim dAlpha As Double</paragraph>
<paragraph id="par_id3145251" role="bascode" xml-lang="en-US"> d1 = InputBox("Enter the length of the opposite side: ","Opposite Side")</paragraph>
<paragraph id="par_id3148456" role="bascode" xml-lang="en-US"> dAlpha = InputBox("Enter the angle Alpha (in degrees): ","Alpha")</paragraph>
<paragraph id="par_id3153877" role="bascode" xml-lang="en-US"> Print "The length of the hypotenuse is"; (d1 / sin (dAlpha * Pi / 180))</paragraph>
<paragraph id="par_idm1341551616" role="bascode" localize="false" xml-lang="en-US">End Sub</paragraph>
</bascode>
<section id="relatedtopics">
<embed href="text/sbasic/shared/03080101.xhp#Atn_h1"/>
<embed href="text/sbasic/shared/03080102.xhp#Cos_h1"/>
<embed href="text/sbasic/shared/03080104.xhp#Tan_h1"/>
</section>
</body>
</helpdocument>
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