Question 1110729
{{{((1+sinx)/cosx)+(cosx/(1+sinx))=2secx}}}


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

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


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


{{{ ( 1+2sin(x)+1)/(cosx(1+sinx))}}}


{{{ ( 2+2sin(x))/(cosx(1+sinx))}}}


{{{ ( 2(1+sin(x)))/(cosx(1+sinx))}}}

{{{2/cosx}}}

{{{2 secx}}}