document.write( "Question 1128167: Use the given information to determine the values of sine 2 theta​, cosine 2 theta​, and tangent 2 theta.
\n" ); document.write( "sin theta=3/20; The terminal side of theta lies in quadrant II.
\n" ); document.write( "

Algebra.Com's Answer #744666 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "1.  First, you need to calculate  \r\n" );
document.write( "\r\n" );
document.write( "        \"cos%28theta%29\" = \"-sqrt%281-sin%5E2%28theta%29%29\" = \"-sqrt%281-%283%2F20%29%5E2%29\" = \"-sqrt%281-9%2F400%29\" = \"-sqrt%28391%29%2F20\".\r\n" );
document.write( "\r\n" );
document.write( "        Notice that the sign before the final sqrt is \" - \" (\"minus\") since the angle \"theta\" is in QII.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Then\r\n" );
document.write( "\r\n" );
document.write( "        \"sin%282%2Atheta%29\" = \"2%2Asin%28theta%29%2Acos%28theta%29\" = \"-2%2A%283%2F20%29%2A%28sqrt%28391%29%2F20%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    At this point, I leave it to you to complete, simplify and to get the final number.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  Next,  \"cos%282theta%29\" = \"1-2%2Asin%5E2%28theta%29\" = \"1-2%2A%283%2F20%29%5E2\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Again, at this point, I leave it to you to complete, simplify and to get the final number.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3.  The final step is  \"tan%282theta%29\" = \"sin%282theta%29%2Fcos%282theta%29\",\r\n" );
document.write( "\r\n" );
document.write( "    which values you substitute from steps 1 and 2.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I completed my instructions.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );