document.write( "Question 323916: the exact value of cos(-330 degrees) is? \n" ); document.write( "
Algebra.Com's Answer #231832 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
the exact value of cos(-330 degrees) is?
\n" ); document.write( "
\r\n" );
document.write( "We start off with x and y axes:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then we start our angle from the right side of the x-axis, and\r\n" );
document.write( "\r\n" );
document.write( "since the angle is negative, we swing an arc in the clockwise\r\n" );
document.write( "direction through 330° and draw a radius vector:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "And we see that the angle is coterminal with 30°, since one\r\n" );
document.write( "revolution is 360° and 330° subtracted from 360° is 30°,\r\n" );
document.write( "and so the reference angle is 30°, \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and since -330° has its\r\n" );
document.write( "terminal side in the first quadrant, its cosine will be the\r\n" );
document.write( "same as the cosine of 30° and positive. so:\r\n" );
document.write( "\r\n" );
document.write( "\"cos%28%22-330%B0%22%29\"\"%22%22=%22%22\"\"%22%22%2Bcos%28%2230%B0%22%29\"\"%22%22=%22%22\"\"sqrt%283%29%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );