Question 863445
{{{(1-sinx)/(1+sinx)=(sec(x)-tan(x))^2}}}



{{{(1-sinx)/(1+sinx)=((1)/(cos(x))-(sin(x))/(cos(x)))^2}}}



{{{(1-sinx)/(1+sinx)=((1-sin(x))/(cos(x)))^2}}}



{{{(1-sinx)/(1+sinx)=((1-sin(x))^2)/(cos^2(x))}}}



{{{(1-sinx)/(1+sinx)=((1-sin(x))^2)/(1-sin^2(x))}}}



{{{(1-sinx)/(1+sinx)=((1-sin(x))^2)/((1-sin(x))(1+sin(x)))}}}



{{{(1-sinx)/(1+sinx)=((1-sin(x))(1-sin(x)))/((1-sin(x))(1+sin(x)))}}}



{{{(1-sinx)/(1+sinx)=(highlight((1-sin(x)))(1-sin(x)))/(highlight((1-sin(x)))(1+sin(x)))}}}



{{{(1-sinx)/(1+sinx)=(cross((1-sin(x)))(1-sin(x)))/(cross((1-sin(x)))(1+sin(x)))}}}



{{{(1-sinx)/(1+sinx)=(1-sin(x))/(1+sin(x))}}}  <img src="http://www.sciweavers.org/tex2img.php?eq=%5Ccolor%7Bgreen%7D%5Ccheckmark&bc=White&fc=Black&im=jpg&fs=36&ff=arev&edit=0" align="center" border="0" alt="\color{green}\checkmark" width="46" height="42" />



So the identity is confirmed. Notice how I did NOT alter the left side at all. I only changed the right side.