document.write( "Question 230148: please prove: 1-cosx/1+cosx=(cscx-cotx)squared \n" ); document.write( "
Algebra.Com's Answer #170716 by chibisan(131)![]() ![]() You can put this solution on YOUR website! lets rationalize by multiplying the denominator and numerator by 1-cosx\r \n" ); document.write( "\n" ); document.write( "(1-cosx)^2 / (1-cos^2x) \n" ); document.write( "1-2cosx+cos^2x / sin^2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/sin^2x -2cosx/sin^2x + cos^2x/sin^2x \n" ); document.write( "cosec^2x -2cosx/sin^2x + cot^2x \n" ); document.write( "(cosecx-cotx)^2(proven) \n" ); document.write( "[ by using a^2 - 2ab + b^2 = (a-b)^2 ] \n" ); document.write( " |