document.write( "Question 1110427: If 0≤x≤180degrees, find, in degrees, all angles x, which satisfy \"+%280.2%29%5E%28cosx%29%3C1+\". \n" ); document.write( "
Algebra.Com's Answer #725464 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "The solution set for this inequality, in the given angle interval, are the angles \r\n" );
document.write( "\r\n" );
document.write( "    0 degrees <= x < 90 degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Indeed, if x is in this interval, then  cos(x) is positive, and, hence,  \"%280.2%29%5Ecos%28x%29\"  is less than 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "On contrary,  if  90 degrees < x <= 180 degrees, then cos(x) is negative and, hence,  \"%280.2%29%5Ecos%28x%29\"  is greater than 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Also notice that the value x= 90 degrees  IS NOT  in the solution set.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );