Question 1064272
cosx/1-sinx  =   1+sinx/cosx


Show what you have properly:   cos(x)/(1-sin(x))=(1+sin(x))/cos(x)


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




Taking left hand side,

{{{(cos(x)/(1-sin(x)))((1+sin(x))/(1+sin(x)))}}}


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


{{{(cos(x)(1+sin(x)))/(cos(x)cos(x))}}}


{{{(1+sin(x))/cos(x)}}}--------identical to right side.