Question

Question #df763

Answer 1

The answer is `=1`

Explanation:

We use, `tanx=sinx/cosx`

Then,

`cosx+sinx=sqrt2cosx`

Divide by `cosx`

`1+tanx=sqrt2`

`tanx=sqrt2-1`

`tan^2x+2tanx=(sqrt2-1)^2+2(sqrt2-1)`

`=2+1-2sqrt2+2sqrt2-2`

`=1`