Question

How do you simplify `(sec^2-1)(csc^2*cos^2)`?

Answer 1

Simplify`(sec^2 x- 1)(csc^2 x.cos^2 x)`

Answer: = 1

Explanation:

`(1/cos^2 x - 1)(cos^2 x/sin^2 x) =`

`= (1 - cos^2 x)/(cos^2 x).(cos^2 x/sin^2 x) =`

`(sin^2 x/cos^2x)(cos^2 x/sin^2 x)` = 1