document.write( "Question 1042126: CotA =4/3 and (a+b)=90degree find the value of tanB = ?
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Algebra.Com's Answer #657085 by Aldorozos(172) ![]() You can put this solution on YOUR website! Tan(A+B) = (TanA+TanB)/(1-TanATanB) \n" ); document.write( "Please Watch this video: \n" ); document.write( "https://www.youtube.com/watch?v=igNTc-G_77k \n" ); document.write( "We know that Tan = 1/cot\r \n" ); document.write( "\n" ); document.write( "If (a+b) = 90 then tan(a+b)= tan 90 \n" ); document.write( "We know that tan 90 = 0 then tan(a+b)= 0\r \n" ); document.write( "\n" ); document.write( "We know that Tan(A+B) = (TanA+TanB)/(1-TanATanB)= 0 for \n" ); document.write( "(TanA+TanB)/(1-TanATanB)to be equal to zero the numerator has to be equal to zero which means TanA+TanB = 0. We already know what the tan of a is (Tan a = 1/CotA) This means that tan a = 1/(4/3) = 3/4 (Please note that the problem has already given us the value of Cot A which is 4/3\r \n" ); document.write( "\n" ); document.write( "Therefore Tan A + Tan B = 0 replacing Tan A with 3/4 we get \n" ); document.write( "Tan B + 3/4 = 0. Therefore Tan B = -3/4\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |