document.write( "Question 969313: 3sin^2 theta -5sin theta +2 = 0 \n" ); document.write( "
Algebra.Com's Answer #592232 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\"3sin%5E2%28theta%29-5sin%28theta%29%2B2\"}\"%22%22=%22%22\"\"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2C+Use%2C+u-substitution%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C4%2CLet%2Csin%28theta%29%2C%22%22=%22%22%2Cu%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C4%2CThen%2Csin%5E2%28theta%29%2C%22%22=%22%22%2Cu%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"3u%5E2-5u%2B2\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"%283u-1%29%28u-2%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"3u-1=0\",  \"u-2=0\"\r\n" );
document.write( "\"3u=1\",      \"u=2\"\r\n" );
document.write( "\"u=1%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C5%2C++Now%2C+substitute%2C+sin%28theta%29%2C+for%2C+u%29\"\r\n" );
document.write( " \r\n" );
document.write( "\"sin%28theta%29=1%2F3\",   \"cross%28sin%28theta%29=2%29\"\r\n" );
document.write( "\r\n" );
document.write( "We discard the second answer since the sine can only be\r\n" );
document.write( "between -1 and +1.\r\n" );
document.write( "\r\n" );
document.write( "Use the inverse sine function to get the value for q.\r\n" );
document.write( "\r\n" );
document.write( "I'll let you finish, since you did not specify whether you want\r\n" );
document.write( "degrees or radians, or whether you only want answers between 0° \r\n" );
document.write( "and 360°, or between 0 an 2p or whether you wanted a general \r\n" );
document.write( "solution in terms of an arbitrary integer n.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );