document.write( "Question 1161418: Find sec^-1 ((-2√3)/(3)) exactly in both radians and degrees \n" ); document.write( "
Algebra.Com's Answer #784965 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\"sec%5E%28-1%29%28%28-2sqrt%283%29%29%2F%283%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "If an angle has a secant of\r\n" );
document.write( "\r\n" );
document.write( "\"%28-2sqrt%283%29%29%2F3\" \r\n" );
document.write( "\r\n" );
document.write( "then it has a cosine which is its reciprocal\r\n" );
document.write( "\r\n" );
document.write( "\"-3%2F%282sqrt%283%29%29\" \r\n" );
document.write( "\r\n" );
document.write( "We rationalize the denominator:\r\n" );
document.write( "\r\n" );
document.write( "\"-3%2F%282sqrt%283%29%29\"\"%22%22%2A%22%22\"\"sqrt%283%29%2Fsqrt%283%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"-3sqrt%283%29%2F%282%2A3%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"-cross%283%29sqrt%283%29%2F%282%2Across%283%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"-sqrt%283%29%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "Angles that have this for their cosine are special angles that\r\n" );
document.write( "we can find on the unit circle, in QII and QIII:\r\n" );
document.write( "\r\n" );
document.write( "In degrees they are 150° and 210°\r\n" );
document.write( "\r\n" );
document.write( "In radians they are 5π/6 and 7π/6\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );