document.write( "Question 799834: What are the solutions of the equation tan(x/2)-sin(x)=0 \n" ); document.write( "
Algebra.Com's Answer #482855 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Given; \n" ); document.write( "(1) tan(x/2) - sin(x) = 0 or \n" ); document.write( "(2) tan(x/2) = sin(x) \n" ); document.write( "Use the half angle idenity of the tangent function given by \n" ); document.write( "(3) tan(x/2) = sin(x)/(1+cos(x)) \n" ); document.write( "Substitute (2) into (3) and get \n" ); document.write( "(4) sin(x) = sin(x)/(1+cos(x)) or \n" ); document.write( "(5) 1 = 1/(1+cos(x)) or \n" ); document.write( "(6) 1+cos(x) = 1 or \n" ); document.write( "(7) cos(x) = 0 \n" ); document.write( "(8) x = arcos(0) or \n" ); document.write( "(9) x = + or - 90 and all angles + or - 180 from 90 or \n" ); document.write( "Answer: \n" ); document.write( " \n" ); document.write( " |