Question

How do you simplify `(csc^2 x sec^2 x)/(sec^2 x + csc^2 x)`?

Answer 1

`(csc^2 x sec^2 x)/(sec^2 x + csc^2 x) = 1`

Explanation:

`sin^2 A + cos^2 A = 1`

`(csc^2 x sec^2 x)/(sec^2 x + csc^2 x) = (1/(sin^2xcos^2 x))/(1/cos^2 x + 1/sin^2 x) = (1/(sin^2xcos^2 x))/((sin^2 x + cos^2 x)/(sin^2 x cos^2 x)) = 1`