document.write( "Question 41592: simplify these expressions:\r
\n" );
document.write( "\n" );
document.write( "(2cotB)/(1+cot^B)\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "the answer is supposed to be 2cosBsinB but i have no idea how that occurs.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #26869 by AnlytcPhil(1810) You can put this solution on YOUR website! Simplify these expressions:\r\n" ); document.write( "\r\n" ); document.write( " 2cotB\r\n" ); document.write( "———————————\r\n" ); document.write( " 1 + cot²B\r\n" ); document.write( "\r\n" ); document.write( "Use the identity cotq = cosq/sinq to replace\r\n" ); document.write( "the numerator\r\n" ); document.write( "\r\n" ); document.write( "Use the identity 1 + cot²q = csc²q to replace \r\n" ); document.write( "the denominator\r\n" ); document.write( "\r\n" ); document.write( " 2(cosB/sinB)\r\n" ); document.write( " ————————————————\r\n" ); document.write( " csc²B\r\n" ); document.write( "\r\n" ); document.write( "Use identity cscq = 1/sinq to replace denominator\r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " 2(cosB/sinB)\r\n" ); document.write( " ————————————————\r\n" ); document.write( " (1/sinB)²\r\n" ); document.write( " \r\n" ); document.write( " 2cosB/sinB \r\n" ); document.write( " ————————————————\r\n" ); document.write( " 1/sin²B\r\n" ); document.write( "\r\n" ); document.write( " 2cosB 1\r\n" ); document.write( "——————— ÷ ———————\r\n" ); document.write( " sinB sin²B\r\n" ); document.write( "\r\n" ); document.write( "Invert and multiply\r\n" ); document.write( "\r\n" ); document.write( " 2cosB sin²B\r\n" ); document.write( "——————— × ———————\r\n" ); document.write( " sinB 1\r\n" ); document.write( "\r\n" ); document.write( "Cancel the sinB into the sin²B\r\n" ); document.write( "\r\n" ); document.write( " sinB \r\n" ); document.write( " 2cosB\n" ); document.write( " |