Question

How do you solve `csc^2x-2cot^2x=0`?

Answer 1

`1/sin^2x - (2cos^2x)/sin^2x = 0`

`(1 - 2cos^2x)/sin^2x = 0`

`csc^2x(1 - 2cos^2x) = 0`

`csc^2x = 0" "AND" "cosx = +-1/sqrt(2)`

`x = 45˚, 135˚, 225˚, 315˚`

Hopefully this helps!