document.write( "Question 801493: Use an identity to find the exact value of the expression sin(pi/4 + pi/6) \n" ); document.write( "
Algebra.Com's Answer #483570 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Use an identity to find the exact value of the expression sin(pi/4 + pi/6) \n" ); document.write( "Identity:sin(s+t)=sin s cost+cos s sin t \n" ); document.write( "sin(π/4+π/6) \n" ); document.write( "=sin(π/4)cos(π/6)+cos(π/4)sin(π/6) \n" ); document.write( "=(√2/2*√3/2)+(√2/2*1/2) \n" ); document.write( "=√6/4+√2/4 \n" ); document.write( "=(√6+√2)/4 \n" ); document.write( "Check: \n" ); document.write( "sin(π/4+π/6)=sin(5π/12)≈0.9659 \n" ); document.write( "exact value=(√6+√2)/4≈0.9659 \n" ); document.write( " |