document.write( "Question 1105023: If cot(x/2)=a, what is sin(x) ? \n" ); document.write( "
Algebra.Com's Answer #719778 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If cot(x/2)=a, what is sin(x) ? \n" ); document.write( "===== \n" ); document.write( "cot(x/2) = sqrt[(1+cos(x))/(1-cos(x)] \n" ); document.write( "----- \n" ); document.write( "a^2 = (1+cos(x))/(1-cos(x)) \n" ); document.write( "==== \n" ); document.write( "a^2 = [(1+cos(x)(1-cos(x))/(1-cos(x))^2] \n" ); document.write( "---- \n" ); document.write( "a^2 = sin^2(x)/(1-cos(x))^2 \n" ); document.write( "a = sin(x)/(1-cos(x)) \n" ); document.write( "sin(x) = a/(1-cos(x)) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " \n" ); document.write( " |