Question 853018
{{{ sinx/(1-sinx)-sinx/(1+sinx)=2 }}}


L.C.D. for the left member is {{{(1-sin x)(1+sin x)}}}.

{{{(sinx/(1-sinx))(1-sin x)(1+sin x) -(sinx/(1+sinx))(1-sin x)(1+sin x) =2(1-sin x)(1+sin x)}}}
{{{sinx(1+sinx)-sinx(1-sinx)=2(1-sin x)(1+sin x)}}}
.  skipping a step here  .
{{{2sin^2(x)=2(1-sin^2(x))}}}
{{{2sin^2(x)=2-2*sin^2(x)}}}
{{{4sin^2(x)=2}}}
{{{sin^2(x)=1/2}}}
{{{sin(x)=(1/2)sqrt(2)}}}


x corresponds to {{{(3*pi)/4}}} and to {{{pi/4}}};
{{{highlight(x = pi/4+- 2npi)}}}  or {{{highlight(x=(3pi/4)+- 2npi)}}}.


The FIRST and very long step might be difficult to read because it may appear wrapped in two lines.