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)\"\" \"About 
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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( "
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