Question

How do you use the fundamental identities to write the expression in terms of a single trig function: `(csc^2 x - cot^2 x)/secx`?

Answer 1

Answer is cos x

One of the fundamental trignometric identities is `1+cot^2 x= csc^2 x`.

This makes `csc^2x -cot^2 x=1`

The given expression thus becomes `1/secx` = cos x