document.write( "Question 174665This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B
\n" ); document.write( ": 4.) If sin(2theta + 18) = cos(5theta - 12), which of the follwoing pairs of angles are represented in this equation?
\n" ); document.write( " (a)42, 48 degrees
\n" ); document.write( " (b)38, 52 degrees
\n" ); document.write( " (c) 12, 68 degrees
\n" ); document.write( " (d) 45, 45 degrees\r
\n" ); document.write( "\n" ); document.write( "thanks show work !
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Algebra.Com's Answer #129708 by stanbon(75887)\"\" \"About 
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If sin(2theta + 18) = cos(5theta - 12), which of the follwoing pairs of angles are represented in this equation?
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\n" ); document.write( "Note; if sin(A) = cos(B), A and B are complementary: A+B = 90
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\n" ); document.write( "Your Promlem:
\n" ); document.write( "2theta + 18 + 5theta-12 = 90
\n" ); document.write( "7theta + 6 = 90
\n" ); document.write( "7theta = 84
\n" ); document.write( "theta = 12 degrees
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\n" ); document.write( "2theta+18 = 24+18 = 42 (one of the angles)
\n" ); document.write( "5theta-12 = 5*12 -12 = 48 (the other angle)\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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\n" ); document.write( "(a)42, 48 degrees
\n" ); document.write( "(b)38, 52 degrees
\n" ); document.write( "(c) 12, 68 degrees
\n" ); document.write( "(d) 45, 45 degrees
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