document.write( "Question 1143227: What is the minimum value of cos(theta) + 2cos(theta +240) \n" ); document.write( "
\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( "Set dy/dt = 0 to find critical points:\r\n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\n" ); document.write( "dy/dt is zero at t = -90 degrees (and every +/- 180 degrees added to that)\r\n" ); document.write( "\n" ); document.write( "zeros are at t = degrees \r\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " n t (deg) y\n" ); document.write( "--- ------- ---\n" ); document.write( " -1 -270 \n" ); document.write( " 0 -90 \n" ); document.write( " 1 90 \n" ); document.write( " \n" ); document.write( "The minimum value is (approx. -1.732051) at t=-90 degrees \n" ); document.write( " \r\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "