Question

Question #e19c2

Answer 1

It is a true trigonometric identity. There is nothing false about it.

Explanation:

`csc x=1/sin x` and
`cot x=cos x/sin x`
Therefore

`Csc x/ cot x = sec x`
`(1/sin x)/(cos x/sin x)= sec x`
`1/cos x=sec x`
`sec x=sec x`

Answer 2

Please see below.

Explanation:

An identity is an equation that is true for all values of the variable(s) for which both sides of the equation are defined.

`cscx/cotx = secx` is true for all values of `x` for which both sides are defined. So it is an identity.

For values of the form `x = pik` for integer `k`, the left side is not defined and the right side is `+-1`.

The phrase "false about the identity"is not at all clear. I can't really make sense of it.
I suspect that the intended question is more like: "For what values of `x` do the expressions `cscx/cotx` and `secx` not give the same values?"