document.write( "Question 538626: I'm stuck on how to solve this.
\n" ); document.write( "Cos(theta) + sin(theta) = 0 \n" ); document.write( "

Algebra.Com's Answer #353216 by AnlytcPhil(1810) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "        cos(Ɵ) + sin(Ɵ) = 0\r\n" );
document.write( "\r\n" );
document.write( "                 sin(Ɵ) = -cos(Ɵ)\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by cos(Ɵ)\r\n" );
document.write( "                       \r\n" );
document.write( "                    = \r\n" );
document.write( "\r\n" );
document.write( "                 tan(Ɵ) = -1\r\n" );
document.write( "\r\n" );
document.write( "The tangent is negative in quadrants II and IV.  If all you want are \r\n" );
document.write( "the angles Ɵ between 0 and 360°, they are 135° and 315°. Or if in \r\n" );
document.write( "radians then  and . \r\n" );
document.write( "\r\n" );
document.write( "However if you want the general solution:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                      Ɵ = angles in quadrants II and IV which have reference\r\n" );
document.write( "                          angles 45°, or \r\n" );
document.write( "\r\n" );
document.write( "                      Ɵ = 135° + 180°n      if in degrees\r\n" );
document.write( "\r\n" );
document.write( "                      Ɵ =             if in radians.\r\n" );
document.write( "\r\n" );
document.write( "                      where n can be any integer, positive, negative or zero. \r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );