document.write( "Question 1181371: (Cos theta + sin theta )(1-2sin theta)=0 \n" ); document.write( "

Algebra.Com's Answer #811276 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "(cos(x) + sin(x) )*(1-2sin(x))=0
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "This basic equation deploys in two independent equations.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "First equation is\r\n" );
document.write( "\r\n" );
document.write( "    cos(x) + sin(x) = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is equivalent to \r\n" );
document.write( "\r\n" );
document.write( "    cos(x) = -sin(x)\r\n" );
document.write( "\r\n" );
document.write( "    tan(x) = -1\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Its general solution is\r\n" );
document.write( "\r\n" );
document.write( "    x =  = .     (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Second equation is \r\n" );
document.write( "\r\n" );
document.write( "    1 - 2sin(x) = 0,\r\n" );
document.write( "\r\n" );
document.write( "which is the same as\r\n" );
document.write( "\r\n" );
document.write( "    sin(x) = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Its general solution is\r\n" );
document.write( "\r\n" );
document.write( "    x =   and  x = .    (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The general solution of the given equation is the union of these sets (1) and (2)\r\n" );
document.write( "\r\n" );
document.write( "         x =   and  x = ,  x = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );