Question

How do you verify trigonometric Identities: `cot^2 x +csc^2 x = 2csc^2 x - 1`?

Answer 1

`cot^2 x + csc^2 x = 2sec^2 x - 1`.
`cos^2 x/sin^2 x` + `1/sin^2 x` = `(1 - sin^2 x + 1)/sin^2 x` =

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