Question

How do you solve `3tan^2x-2=5sec^2x-9`?

Answer 1

`x=+-45^@+180^@n`

Explanation:

`3tan^2x-2=5sec^2x-9`

`3tan^2x-2=5(1+tan^2x)-9`

`3tan^2x-2=5+5tan^2x-9`

`3tan^2x-2=5tan^2x-4`

`-2+4=5tan^2x-3tan^2x`

`2=2tan^2x`

`1=tan^2x`

`tanx=+-1`

`x=tan^-1(+-1)`

`x=+-45^@+180^@n`