Question 438257
{{{1/(1-(1/(1-1/(1-(secx)^2))))

= 1/(1 - (1/(-(secx)^2/(1-(secx)^2))))

= 1/(1 + (1-(secx)^2)/(secx)^2)

= 1/(((secx)^2 + 1 - (secx)^2)/(secx)^2)

= 1/(1/(secx)^2)

= (secx)^2
}}}