1*b1cdbd2cSJim Jagielski<?xml version="1.0" encoding="UTF-8"?> 2*b1cdbd2cSJim Jagielski 3*b1cdbd2cSJim Jagielski 4*b1cdbd2cSJim Jagielski<!--*********************************************************** 5*b1cdbd2cSJim Jagielski * 6*b1cdbd2cSJim Jagielski * Licensed to the Apache Software Foundation (ASF) under one 7*b1cdbd2cSJim Jagielski * or more contributor license agreements. See the NOTICE file 8*b1cdbd2cSJim Jagielski * distributed with this work for additional information 9*b1cdbd2cSJim Jagielski * regarding copyright ownership. The ASF licenses this file 10*b1cdbd2cSJim Jagielski * to you under the Apache License, Version 2.0 (the 11*b1cdbd2cSJim Jagielski * "License"); you may not use this file except in compliance 12*b1cdbd2cSJim Jagielski * with the License. You may obtain a copy of the License at 13*b1cdbd2cSJim Jagielski * 14*b1cdbd2cSJim Jagielski * http://www.apache.org/licenses/LICENSE-2.0 15*b1cdbd2cSJim Jagielski * 16*b1cdbd2cSJim Jagielski * Unless required by applicable law or agreed to in writing, 17*b1cdbd2cSJim Jagielski * software distributed under the License is distributed on an 18*b1cdbd2cSJim Jagielski * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY 19*b1cdbd2cSJim Jagielski * KIND, either express or implied. See the License for the 20*b1cdbd2cSJim Jagielski * specific language governing permissions and limitations 21*b1cdbd2cSJim Jagielski * under the License. 22*b1cdbd2cSJim Jagielski * 23*b1cdbd2cSJim Jagielski ***********************************************************--> 24*b1cdbd2cSJim Jagielski 25*b1cdbd2cSJim Jagielski 26*b1cdbd2cSJim Jagielski 27*b1cdbd2cSJim Jagielski<helpdocument version="1.0"> 28*b1cdbd2cSJim Jagielski<meta> 29*b1cdbd2cSJim Jagielski<topic id="textsbasicshared03080102xml" indexer="include" status="PUBLISH"> 30*b1cdbd2cSJim Jagielski<title id="tit" xml-lang="en-US">Cos Function [Runtime]</title> 31*b1cdbd2cSJim Jagielski<filename>/text/sbasic/shared/03080102.xhp</filename> 32*b1cdbd2cSJim Jagielski</topic> 33*b1cdbd2cSJim Jagielski<history> 34*b1cdbd2cSJim Jagielski<created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created> 35*b1cdbd2cSJim Jagielski<lastedited date="2004-08-24T11:09:53">converted from old format - fpe</lastedited> 36*b1cdbd2cSJim Jagielski</history> 37*b1cdbd2cSJim Jagielski</meta> 38*b1cdbd2cSJim Jagielski<body> 39*b1cdbd2cSJim Jagielski<section id="cos"> 40*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="index" id="bm_id3154923"><bookmark_value>Cos function</bookmark_value> 41*b1cdbd2cSJim Jagielski</bookmark> 42*b1cdbd2cSJim Jagielski<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> 43*b1cdbd2cSJim Jagielski<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> 44*b1cdbd2cSJim Jagielski</section> 45*b1cdbd2cSJim Jagielski<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> 46*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3154141" xml-lang="en-US" l10n="U" oldref="4">Cos(Alpha) = Adjacent/Hypotenuse</paragraph> 47*b1cdbd2cSJim Jagielski<paragraph role="heading" id="hd_id3154125" xml-lang="en-US" level="2" l10n="U" oldref="5">Syntax:</paragraph> 48*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3145172" xml-lang="en-US" l10n="U" oldref="6">Cos (Number)</paragraph> 49*b1cdbd2cSJim Jagielski<paragraph role="heading" id="hd_id3156214" xml-lang="en-US" level="2" l10n="U" oldref="7">Return value:</paragraph> 50*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3150449" xml-lang="en-US" l10n="U" oldref="8">Double</paragraph> 51*b1cdbd2cSJim Jagielski<paragraph role="heading" id="hd_id3153969" xml-lang="en-US" level="2" l10n="U" oldref="9">Parameters:</paragraph> 52*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3153770" xml-lang="en-US" l10n="U" oldref="10"> 53*b1cdbd2cSJim Jagielski<emph>Number:</emph> Numeric expression that specifies an angle in radians that you want to calculate the cosine for.</paragraph> 54*b1cdbd2cSJim Jagielski<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> 55*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3149664" xml-lang="en-US" l10n="U" oldref="12">degree=(radian*180)/pi</paragraph> 56*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3146985" xml-lang="en-US" l10n="U" oldref="13">radian=(degree*pi)/180</paragraph> 57*b1cdbd2cSJim Jagielski<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> 58*b1cdbd2cSJim Jagielski<embed href="text/sbasic/shared/00000003.xhp#errorcode"/> 59*b1cdbd2cSJim Jagielski<embed href="text/sbasic/shared/00000003.xhp#err5"/> 60*b1cdbd2cSJim Jagielski<paragraph role="heading" id="hd_id3153951" xml-lang="en-US" level="2" l10n="U" oldref="15">Example:</paragraph> 61*b1cdbd2cSJim Jagielski<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> 62*b1cdbd2cSJim Jagielski<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> 63*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3147428" xml-lang="en-US" l10n="U" oldref="18">Sub ExampleCosinus</paragraph> 64*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3150010" xml-lang="en-US" l10n="U" oldref="19">REM rounded Pi = 3.14159</paragraph> 65*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3149959" xml-lang="en-US" l10n="U" oldref="20">Dim d1 as Double, dAngle as Double</paragraph> 66*b1cdbd2cSJim Jagielski<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> 67*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3154491" xml-lang="en-US" l10n="U" oldref="22">dAngle = InputBox$ ("Enter the angle Alpha (in degrees): ","Alpha")</paragraph> 68*b1cdbd2cSJim Jagielski<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> 69*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3149583" xml-lang="en-US" l10n="U" oldref="24">End Sub</paragraph> 70*b1cdbd2cSJim Jagielski</body> 71*b1cdbd2cSJim Jagielski</helpdocument> 72