Question

How do you prove `cot^2 x +csc^2 x = 2csc^2 x - 1`?

Answer 1

Using the identity:
`csc^2x-cot^2x=1` ...............(1)

from the problem
`cot^2x+csc^2x-2csc^2x=-1`

`=> cot^2x-csc^2x=-1`

`=> csc^2x-cot^2x=1`

which is the identity (1)