CPM Homework Help : PC3 Problem 10-101

Add the fractions and simplify: $\frac { 1 } { \operatorname { sec } ( x ) + \operatorname { tan } ( x ) } + \frac { 1 } { \operatorname { sec } ( x ) - \operatorname { tan } ( x ) }$

Step:

$\frac { \sec ( x ) - \tan ( x ) + \sec( x ) + \tan ( x )} { \sec^2( x ) - \tan^2 ( x ) }$

Hint:

$1 +\tan^2(x)= \sec^2(x)$