Question

How do you simplify `sin(x) + tan(x) = tan(x)(cos(x)+1)`?

Answer 1

See explanation.

Explanation:

You probably meant to proove this identity. To do this you have to start from one side (left or right) and transform it to the other side using trigonometrical identities:

`R=tanx*(cosx+1)=tanx*cosx+tanx=` (1)

`=sinx/cosx*cosx+tanx=` (2)

`=sinx+tanx=L`

Between `(1)` and `(2)` I used identity: `tanx=sinx/cosx`