document.write( "Question 974495: Please help me solve w/work ASAP: If sin(A)=17/45 with pi/2 < A < pi and tan(B)=-105/88 with 3pi/2 < B < 2pi, then what is the exact value of sin(A+B)? \n" ); document.write( "
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Please help me solve w/work ASAP: If sin(A)=17/45 with pi/2 < A < pi and tan(B)=-105/88 with 3pi/2 < B < 2pi, then what is the exact value of sin(A+B)?
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\n" ); document.write( "sin(A)=17/45 with pi/2 < A < pi --> Q2
\n" ); document.write( "Find the cos(A):
\n" ); document.write( "\"cos%28A%29+=+sqrt%281+-+sin%5E2%28A%29%29\"
\n" ); document.write( "\"cos%28A%29+=+-sqrt%281736%29%2F45\" (Cosine negative in Q2)
\n" ); document.write( "----------------
\n" ); document.write( "tan(B)=-105/88 with 3pi/2 < B < 2pi --> Q4
\n" ); document.write( "Find sine & cosine of B
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\n" ); document.write( "tan(B) = y/x
\n" ); document.write( "\"r+=+sqrt%28105%5E2+%2B+88%5E2%29+=+137\"
\n" ); document.write( "sin(B) = y/r = -105/137
\n" ); document.write( "cos(B) = x/r = 88/137
\n" ); document.write( "---------------
\n" ); document.write( "sin(A + B) = sin(A)cos(B) + sin(B)cos(A)
\n" ); document.write( "= \"%2817%2F45%29%2A%2888%2F137%29+%2B+%28-105%2F137%29%2A%28-sqrt%281736%29%2F45%29\"
\n" ); document.write( "= \"%2817%2A88+%2B+105sqrt%281736%29%29%2F%2845%2A137%29\"
\n" ); document.write( "= \"%281496+%2B+105sqrt%281736%29%29%2F6165\"\r
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