Question

Simplify sec^2x-tan x-3

Answer 1

Sec^2x-tan x-3 = RED IS SUS

Answer 2

`\huge\longmapsto\mathfrak{Answer}`

=》

`\sec {}^(2) (x) - tan(x) - 3`

=》

`\tan {}^(2) (x) + 1 - \tan(x) - 3`

=》

`\tan {}^(2) (x) - \tan(x) - 2`

=》

`\tan {}^(2) (x) - 2\tan(x) + \tan(x) - 2`

=》

`\tan(x) ( \tan(x) - 2) + 1( \tan(x) - 2)`

=》

`( \tan(x) + 1)( \tan(x) - 2)`

so,

case - 1

=》

`\tan(x) = - 1`

case - 2

`\tan(x) = 2`