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<?xml version="1.0" encoding="UTF-8"?>
<helpdocument version="1.0">
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<meta>
<topic id="textsbasicshared03080104xml" indexer="include" status="PUBLISH">
<title id="tit" xml-lang="en-US">Tan Function</title>
<filename>/text/sbasic/shared/03080104.xhp</filename>
</topic>
</meta>
<body>
<section id="tan">
<bookmark xml-lang="en-US" branch="index" id="bm_id3148550">
<bookmark_value>Tan function</bookmark_value>
</bookmark>
<h1 id="hd_id3148550"><variable id="Tan_h1"><link href="text/sbasic/shared/03080104.xhp" name="Tan Function">Tan Function</link></variable></h1>
<paragraph id="par_id3148663" role="paragraph" xml-lang="en-US">Determines the tangent of an angle. The angle is specified in radians.<comment>i71396</comment></paragraph>
</section>
<paragraph id="par_id3153379" role="paragraph" xml-lang="en-US">Using the angle Alpha, the <literal>Tan</literal> 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>
<paragraph id="par_id3154366" role="paragraph" xml-lang="en-US"><literal>Tan</literal>(Alpha) = side opposite the angle/side adjacent to angle</paragraph>
<embed href="text/sbasic/shared/00000003.xhp#functsyntax"/>
<bascode>
<paragraph id="par_id3151042" role="bascode" xml-lang="en-US">Tan (Number As Double) As Double</paragraph>
</bascode>
<embed href="text/sbasic/shared/00000003.xhp#functvalue"/>
<paragraph id="par_id3156281" role="paragraph" xml-lang="en-US">Double</paragraph>
<embed href="text/sbasic/shared/00000003.xhp#functparameters"/>
<paragraph id="par_id3145786" role="paragraph" xml-lang="en-US"> <emph>Number:</emph> Any numeric expression that you want to calculate the tangent for (in radians).</paragraph>
<paragraph id="par_id3153728" role="paragraph" xml-lang="en-US">To convert degrees to radians, multiply by <literal>Pi</literal>/180. To convert radians to degrees, multiply by 180/<literal>Pi</literal>.</paragraph>
<paragraph id="par_id3155414" role="paragraph" xml-lang="en-US">degrees=(radiant*180)/<literal>Pi</literal></paragraph>
<paragraph id="par_id3146975" role="paragraph" xml-lang="en-US">radiant=(degrees*<literal>Pi</literal>)/180</paragraph>
<paragraph id="par_id3147434" 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_id3148646" role="bascode" xml-lang="en-US">' In this example, the following entry is possible for a right-angled triangle:</paragraph>
<paragraph id="par_id3150012" role="bascode" xml-lang="en-US">' The side opposite the angle and the angle (in degrees) to calculate the length of the side adjacent to the angle:</paragraph>
<paragraph id="par_idm1340786736" role="bascode" localize="false" xml-lang="en-US">Sub ExampleTangens</paragraph>
<paragraph id="par_id3153158" role="bascode" xml-lang="en-US">' Pi = 3.1415926 is a pre-defined variable</paragraph>
<paragraph id="par_idm1340783712" role="bascode" localize="false" xml-lang="en-US">Dim d1 As Double</paragraph>
<paragraph id="par_idm1340782480" role="bascode" localize="false" xml-lang="en-US">Dim dAlpha As Double</paragraph>
<paragraph id="par_id3145252" role="bascode" xml-lang="en-US"> d1 = InputBox("Enter the length of the side opposite the angle: ","opposite")</paragraph>
<paragraph id="par_id3149582" role="bascode" xml-lang="en-US"> dAlpha = InputBox("Enter the Alpha angle (in degrees): ","Alpha")</paragraph>
<paragraph id="par_id3154016" role="bascode" xml-lang="en-US"> Print "the length of the side adjacent the angle is"; (d1 / tan (dAlpha * Pi / 180))</paragraph>
<paragraph id="par_idm1340775872" 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/03080103.xhp#Sin_h1"/>
</section>
</body>
</helpdocument>
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