document.write( "Question 888014: Find the exact value of sin(a-B) if sin a=(5/13) and sin B=(8/17) and a and B are between 0 and pi/2 \n" ); document.write( "
Algebra.Com's Answer #537012 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the exact value of sin(a-B) if sin a=(5/13) and sin B=(8/17) and a and B are between 0 and pi/2 \n" ); document.write( "-------------- \n" ); document.write( "If sin(a) = 5/13, cos(a) = sqrt(13^2-5^2)/13 = 12/13 \n" ); document.write( "----- \n" ); document.write( "If sin(B) = 8/17, cos(B) = sqrt(17^2-8^2)/17 = 15/17 \n" ); document.write( "---- \n" ); document.write( "sin(a-B) = sin(a)cos(B)-cos(a)sin(B) = (5/13)(15/17)-(12/13)(8/17) \n" ); document.write( "= -21/221 \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------- \n" ); document.write( " |