document.write( "Question 1113579: Compute $\"+%28sin13%2Bsin47%2Bsin73%2Bsin107%29%2F%28cos17%29+\"$ . (In degrees) \n" ); document.write( "

Algebra.Com's Answer #728683 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "13 = 30-17; 47 = 30+17.

\n" ); document.write( " $\"sin%2830-x%29%2Bsin%2830%2Bx%29\"$
\n" ); document.write( "= $\"%28sin30cosx-cos30sinx%29%2B%28sin30cosx%2Bcos30sinx%29\"$
\n" ); document.write( "= $\"2sin30cosx\"$
\n" ); document.write( "= $\"cosx\"$

\n" ); document.write( "So
\n" ); document.write( " $\"sin13%2Bsin47+=+cos17\"$

\n" ); document.write( "73 = 90-17; 107 = 90+17.

\n" ); document.write( " $\"sin%2890-x%29%2Bsin%2890%2Bx%29\"$
\n" ); document.write( "= $\"%28sin90cosx-cos90sinx%29%2B%28sin90cosx%2Bcos90sinx%29\"$
\n" ); document.write( "= $\"2sin90cosx\"$
\n" ); document.write( "= $\"2cosx\"$

\n" ); document.write( "So
\n" ); document.write( " $\"sin73%2Bsin107+=+2cos17\"$

\n" ); document.write( "And so then
\n" ); document.write( " $\"sin13%2Bsin47%2Bsin73%2Bsin107+=+3cos17\"$

\n" ); document.write( "And finally
\n" ); document.write( " $\"%28sin13%2Bsin47%2Bsin73%2Bsin107%29%2Fcos17+=+3\"$
\n" ); document.write( " \n" ); document.write( "

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