1/1- sin x - 1/ 1+ sin x = 2 sec x tan x

1/1- sin x - 1/ 1+ sin x = 2 sec x tan x


Please learn to use parentheses. What you wrote for the left hand side is this:


\frac 1 1 - sin x + \frac 1 1 +\sin x


Clearly this is equal to 0. I suspect what you meant to write is this:

1/(1-sinx) - 1/(1+sinx).

Hint: to start try combining these two fractions into one. Also convert the right hand side to sine and cosine equivalents