If $(1+\cos A)(1+\cos B)(1+\cos C)=(1-\cos A)(1-\cos B)(1-\cos C)$ then prove that each side $=\pm \sin A\sin B\sin C$  I didn't get any idea even to start the first step.
If $$(1+ \cos A) (1+ \cos B) (1+\cos C)= y = (1- \cos A) (1-\cos B) (1-\cos C)$$ then prove that $$y = \pm \sin A \sin B \sin C$$
Posts linked in deleted answers still show up under "Linked" E.g. see . Ssh login hook? Set Path for all Users (Login and Non-login Shells) Ok. So, I'm used to Ubuntu and CentOS more than redhat, so I'm hoping there's some obvious solution to this that I'm missing.  I've installed Anaconda (Python). I've placed it in:  /opt/anaconda3   I would like for myself and all users to be able to have the following in their paths:  /opt/anaconda3/bin   I have googled around and have gained a lot of conflicting information about how to "properly" accomplish my mission.  Stuff I have tried:   Adding a bash script to /etc/profile.d Editing /etc/profile Editing /etc/bashrc Adding to root bashrc Editing user .bashrc   All edits involved some form of:  PATH=/opt/anaconda3/bin:$PATH   or  export PATH=/opt/anaconda3/bin:$PATH   Option 2 yielded the addition of /opt/anaconda3/bin to the path for multiple users, but after terminal restarts still did not run the commands within bin (i.e. conda install, ipython notebook, etc.)  Any ideas? Using MSSQL2005, can I truncate a table with a foreign key constraint if I first truncate the child table (the table with the primary key of the FK relationship)?  I know that I can either   Use a DELETE without a where clause and then RESEED the identity (or) Remove the FK, truncate the table, and recreate the FK.   I thought that as long as I truncated the child table before the parent, I'd be okay without doing either of the options above, but I'm getting this error:     Cannot truncate table 'TableName' because it is being referenced by a FOREIGN KEY constraint. After upgrade of any app - apps move back from SD Card to phone memory.  After that, to save phone memory, I have to move upgraded app back to SD card.   Is any possibility to avoid this because it is very annoying?  I have Android 5.0.2 on Motorola E second gen phone. What's the difference between an id and a class? Is there a word to describe a highly desirable cursed treasure? Is there a single word to describe an object or idea that is so desirable that everyone wants to attain it but once they have it they are immediately cursed?  The idea is often used in literature—some examples:   In Lord of the Rings, the 'one ring' is a perfect example of this. In Guy de Maupassant's story , the necklace might be considered to be this. There are many stories of people making deals with the devil (see question: ), or being granted three wishes by a Djinn or fairy, which inevitably turn out bad. In the Twilight Zone episode , Bemis's desire to be left alone with his books would be an example of this word.   'Bane' covers the cursed part, but no one desires it.  Is there a single word to describe a most highly desired treasure that (knowingly or unknowingly) comes with a curse? I have the following code for my masterpage:  &lt;%@ Master Language="C#" AutoEventWireup="true" CodeFile="MasterPage.master.cs" Inherits="MasterPage" %&gt; &lt;?xml version="1.0" encoding="UTF-8"?&gt; &lt;!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"&gt;  &lt;html xmlns="http://www.w3.org/1999/xhtml"&gt; &lt;head runat="server" style="position:relative"&gt;     &lt;title&gt;Masterpage&lt;/title&gt;     &lt;asp:ContentPlaceHolder id="head" runat="server"&gt;     &lt;/asp:ContentPlaceHolder&gt; &lt;/head&gt; &lt;body&gt;     &lt;form id="main" runat="server" style="position:relative"&gt;     &lt;div&gt;         &lt;asp:ContentPlaceHolder id="MainContent" runat="server"&gt;         &lt;/asp:ContentPlaceHolder&gt;     &lt;/div&gt;     &lt;/form&gt;     &lt;br style="clear:both" /&gt;     &lt;form id="footer" style="position:relative"&gt;     &lt;div&gt;         &lt;center style="font-size:small"&gt;Footer content&lt;/center&gt;     &lt;/div&gt;         &lt;/form&gt; &lt;/body&gt; &lt;/html&gt;   My problem is that when the MainContent isn't filling up the page the footer is not at the bottom of the page. Is there a way to force the footer to stay on the bottom of the page if the main content isn't pushing it all the way down? When the main content is "big" enough it pushes the footer down with the content and displays on the bottom when scrolling down, but not if it is to small.  Anybody know how to fix this? Single service account running all SQL Servers Is there any negative performance impact for using the same service account and agent account to run SQL Server and SQL Agent respectively for all SQL server instances running at a small company of say 35 servers? The biggest database is 0.5 GB. any suggestions are welcome. Thank you. A graph $G$ is bipartite if and only if $G$ can be coloured with 2 colours Error: Declaration of MyClass::start_lvl() should be compatible with that of Walker_Nav_Menu::start_lvl() I'm currently working on a WordPress site and whenever in the admin I go the Appearance > Menus page I get the following error:     ErrorException: Runtime Notice: Declaration of Walker_Nav_Menu_Edit::start_lvl() should be compatible with that of Walker_Nav_Menu::start_lvl() in wp-admin/includes/nav-menu.php line 203   It seems like some sort of PHP compatibility issue. I'm running PHP 5.3.10 on my local dev machine.  What would be the best way to remedy this problem? Abnormal behavior with iwlwifi driver: the device is shown as not working I want to install Open JDK or Oracle JDK to my machine but I got an error during installation. The error is:  Selecting previously unselected package oracle-java8-installer. dpkg: warning: files list file for package 'unity-scope-gourmet' missing; assuming package has no files currently installed dpkg: warning: files list file for package 'unity-scope-guayadeque' missing; assuming package has no files currently installed dpkg: warning: files list file for package 'unity-scope-gmusicbrowser' missing; assuming package has no files currently installed dpkg: warning: files list file for package 'unity-scope-manpages' missing; assuming package has no files currently installed dpkg: warning: files list file for package 'unity-scope-firefoxbookmarks' missing; assuming package has no files currently installed dpkg: warning: files list file for package 'unity-scope-gdrive' missing; assuming package has no files currently installed dpkg: warning: files list file for package 'unity-scope-home' missing; assuming package has no files currently installed E: Sub-process /usr/bin/dpkg returned an error code (2)   I searched on Google and try to something for install/reinstall this packages. Finally i try to remove Unity. I faced this error for my every tries. I am using Xmonad. How can I fix this issue? If I use the starting wealth rolls of my class, do I keep any remaining money left over? If I use the starting wealth rolls of my class, do I keep any remaining money left over after I buy equipment?  In D&amp;D 5e you can roll the 4d4 &times; 10 to determine starting gold, forgoing any equipment your class and background  gets.  This is not up for question.  What is up for question is whether or not the PC keeps any remaining gold that they don't spend on equipment.   As far as I have been able to tell, this is not explicitly stated in the PHB nor in the Basic Rules documents. php - Should I encrypt email addresses? Is there a ".bashrc" equivalent file read by all shells? Is ~/.bashrc  the only place to specify user specific environment variables, aliases, modifications to PATH variable, etc?  I ask because it seems that ~/.bashrc seems to be bash-only, but other shells exist too… Why does centering not work with calligra? I'm trying out the calligra package for a wedding order of service. Just trying to make the titles look a little nicer. When I use the \centering command, however, it doesn't seem to work:  \centering Test1\\ \calligra{Test}   Produces calligraphic text that doesn't seem to be centered. Is this fixable?    Thanks all,  James Automatic tagging of releases Can apostrophe 's' be used with 'etc.'? I have a Beamer presentation with note pages, in which everything renders just fine with pdflatex.   However, when the file is compiled using xelatex (I need to use fontspec), texts in frames after a note page are not visible -- they are rendered in white colour. This problem is reproducible when using Beamer v3.33.  %% Compile with xelatex \documentclass[handout]{beamer}  \mode&lt;handout&gt; { \setbeameroption{show notes} \RequirePackage{pgfpages} \pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm] }  \begin{document} \begin{frame} A test, A test! \note{ } \end{frame}      \begin{frame} This text does not appear! \note{ } \end{frame} \end{document}   While this problem can be solved by compiling with lualatex, I'm wondering if there's any thing one can do to make it work for xelatex?