document.write( "Question 732084: (sin^2θ -tanθ)/(cos^2θ-cotθ) = tan^2θ \n" ); document.write( "
\r\n" ); document.write( " = tanē(q)\r\n" ); document.write( "\r\n" ); document.write( "In the left side:\r\n" ); document.write( "\r\n" ); document.write( "Replace tan(q) with \r\n" ); document.write( "and\r\n" ); document.write( "Replace cot(q) with \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write as a division:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Get a common denominator in each:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Invert the second fraction and change division to multiplication:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Factor sin(q)out of left numerator\r\n" ); document.write( "and factor cos(q) out of right denominator:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The two expressions in parentheses will cancel:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "tanē(q)\r\n" ); document.write( "\r\n" ); document.write( "Edwin