Question

How do you simplify `(tan^2(x))/(1+tan^2(x))`?

Answer 1

`sin^2 x`

Explanation:

Simplify `f(x) = tan^2 x/(1 + tan^2 x)`
Use trig identity:
`1 + tan^2 x = 1/(cos^2 x)`
`f(x) = (sin^2 x)/(cos^2 x)(cos^2 x/1) = sin^2 x`