document.write( "Question 734502: Use half-angle identity to find the exact value of tan 22.5 degrees \n" ); document.write( "
Algebra.Com's Answer #448998 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Use half-angle identity to find the exact value of tan 22.5 degrees
\n" ); document.write( "***
\n" ); document.write( "tan 22.5º=tan(45º/2)=sin 45/(1+cos45)
\n" ); document.write( "=(√2/2)/(1+√2/2)
\n" ); document.write( "=√2/(2+√2)
\n" ); document.write( "..
\n" ); document.write( "Check with calculator:
\n" ); document.write( "tan 22.5º≈.4142..
\n" ); document.write( "√2/(2+√2)≈.4142..
\n" ); document.write( "
\n" );