document.write( "Question 827541: Use a product-to-sum or sum-to-product identity to complete the simplification shown below.\r
\n" ); document.write( "\n" ); document.write( "sin(36 degrees)+sin(24 degrees)=sin(A)\r
\n" ); document.write( "\n" ); document.write( "where the exact value of A with 0 degrees < A < 90 degrees is:\r
\n" ); document.write( "\n" ); document.write( "A =
\n" ); document.write( "

Algebra.Com's Answer #498759 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Use a product-to-sum or sum-to-product identity to complete the simplification shown below.
\n" ); document.write( "sin(36 degrees)+sin(24 degrees)=sin(A)
\n" ); document.write( "where the exact value of A with 0 degrees < A < 90 degrees is:
\n" ); document.write( "***
\n" ); document.write( "\"sin%28s%29%2Bsin%28t%29=2%28sin%28s%2Bt%29%2F2%29%28cos%28s-t%29%2F2%29=sin%28A%29\"
\n" ); document.write( "\"sin%2836%29%2Bsin%2824%29=2%28sin%2836%2B24%29%2F2%29%28cos%2836-24%29%2F2%29=sin%28A%29\"
\n" ); document.write( "\"sin%2836%29%2Bsin%2824%29=2sin%2830%29cos%286%29=sin%28A%29\"
\n" ); document.write( "\"sin%2836%29%2Bsin%2824%29=2%281%2F2%29cos%286%29=sin%28A%29\"
\n" ); document.write( "cos(6)=sin(A)
\n" ); document.write( "cos(6)=sin(90-6)=sin(84)
\n" ); document.write( "sin(A)=sin(84)
\n" ); document.write( "A=84˚
\n" ); document.write( "..
\n" ); document.write( "calculator check:
\n" ); document.write( "sin(36)+sin(24)≈0.9945..
\n" ); document.write( "sin(A)=sin84≈0.9945..
\n" ); document.write( "
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