Question

How do you simplify the expression `1-(sec^2x-tan^2x)`?

Answer 1

`0`

Explanation:

`1-(sec^2x-tan^2x)`
`" "`
`=1-((1/cosx)^2-(sinx/cosx)^2)`
`" "`
`=1-(1/cos^2 x-sin^2 x/cos^2 x)`
`" "`
`=1-((1-sin^2 x)/cos^2 x)`
`" "`
`=1-(cos^2 x/cos^2 x)`
`" "`
`=1-1`
`" "`
`=0`