Question

How do you prove `(1+cos^2x)/sin^2x=2csc^2x-1`?

Answer 1

Prove expression

Explanation:

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