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If not, see * <http://www.openoffice.org/license.html> * for a copy of the LGPLv3 License. * ************************************************************************--> <helpdocument version="1.0"> <meta> <topic id="textsbasicshared03080102xml" indexer="include" status="PUBLISH"> <title id="tit" xml-lang="en-US">Cos Function [Runtime]</title> <filename>/text/sbasic/shared/03080102.xhp</filename> </topic> <history> <created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created> <lastedited date="2004-08-24T11:09:53">converted from old format - fpe</lastedited> </history> </meta> <body> <section id="cos"> <bookmark xml-lang="en-US" branch="index" id="bm_id3154923"><bookmark_value>Cos function</bookmark_value> </bookmark> <paragraph role="heading" id="hd_id3154923" xml-lang="en-US" level="1" l10n="U" oldref="1"><link href="text/sbasic/shared/03080102.xhp" name="Cos Function [Runtime]">Cos Function [Runtime]</link></paragraph> <paragraph role="paragraph" id="par_id3159413" xml-lang="en-US" l10n="U" oldref="2">Calculates the cosine of an angle. The angle is specified in radians. The result lies between -1 and 1.</paragraph> </section> <paragraph role="paragraph" id="par_id3150358" xml-lang="en-US" l10n="U" oldref="3">Using the angle Alpha, the Cos-Function calculates the ratio of the length of the side that is adjacent to the angle, divided by the length of the hypotenuse in a right-angled triangle.</paragraph> <paragraph role="paragraph" id="par_id3154141" xml-lang="en-US" l10n="U" oldref="4">Cos(Alpha) = Adjacent/Hypotenuse</paragraph> <paragraph role="heading" id="hd_id3154125" xml-lang="en-US" level="2" l10n="U" oldref="5">Syntax:</paragraph> <paragraph role="paragraph" id="par_id3145172" xml-lang="en-US" l10n="U" oldref="6">Cos (Number)</paragraph> <paragraph role="heading" id="hd_id3156214" xml-lang="en-US" level="2" l10n="U" oldref="7">Return value:</paragraph> <paragraph role="paragraph" id="par_id3150449" xml-lang="en-US" l10n="U" oldref="8">Double</paragraph> <paragraph role="heading" id="hd_id3153969" xml-lang="en-US" level="2" l10n="U" oldref="9">Parameters:</paragraph> <paragraph role="paragraph" id="par_id3153770" xml-lang="en-US" l10n="U" oldref="10"> <emph>Number:</emph> Numeric expression that specifies an angle in radians that you want to calculate the cosine for.</paragraph> <paragraph role="paragraph" id="par_id3145749" xml-lang="en-US" l10n="U" oldref="11">To convert degrees to radians, multiply degrees by pi/180. To convert radians to degrees, multiply radians by 180/pi.</paragraph> <paragraph role="paragraph" id="par_id3149664" xml-lang="en-US" l10n="U" oldref="12">degree=(radian*180)/pi</paragraph> <paragraph role="paragraph" id="par_id3146985" xml-lang="en-US" l10n="U" oldref="13">radian=(degree*pi)/180</paragraph> <paragraph role="paragraph" id="par_id3152885" xml-lang="en-US" l10n="U" oldref="14">Pi is here the fixed circle constant with the rounded value 3.14159...</paragraph> <embed href="text/sbasic/shared/00000003.xhp#errorcode"/> <embed href="text/sbasic/shared/00000003.xhp#err5"/> <paragraph role="heading" id="hd_id3153951" xml-lang="en-US" level="2" l10n="U" oldref="15">Example:</paragraph> <paragraph role="paragraph" id="par_id3155855" xml-lang="en-US" l10n="U" oldref="16">REM The following example allows for a right-angled triangle the input of</paragraph> <paragraph role="paragraph" id="par_id3149484" xml-lang="en-US" l10n="U" oldref="17">REM secant and angle (in degrees) and calculates the length of the hypotenuse:</paragraph> <paragraph role="paragraph" id="par_id3147428" xml-lang="en-US" l10n="U" oldref="18">Sub ExampleCosinus</paragraph> <paragraph role="paragraph" id="par_id3150010" xml-lang="en-US" l10n="U" oldref="19">REM rounded Pi = 3.14159</paragraph> <paragraph role="paragraph" id="par_id3149959" xml-lang="en-US" l10n="U" oldref="20">Dim d1 as Double, dAngle as Double</paragraph> <paragraph role="paragraph" id="par_id3144764" xml-lang="en-US" l10n="U" oldref="21">d1 = InputBox$ (""Enter the length of the adjacent side: ","Adjacent")</paragraph> <paragraph role="paragraph" id="par_id3154491" xml-lang="en-US" l10n="U" oldref="22">dAngle = InputBox$ ("Enter the angle Alpha (in degrees): ","Alpha")</paragraph> <paragraph role="paragraph" id="par_id3151074" xml-lang="en-US" l10n="U" oldref="23">Print "The length of the hypothenuse is"; (d1 / cos (dAngle * Pi / 180))</paragraph> <paragraph role="paragraph" id="par_id3149583" xml-lang="en-US" l10n="U" oldref="24">End Sub</paragraph> </body> </helpdocument>