Question

How do you evaluate `tan(arctan(10))`?

Answer 1

`tan(arctan(10))=10`

Explanation:

Because `arctan(x)=tan^(-1)(x)`, we can see that `tan(x)` and `arctan(x)` are inverses of each other.

Remember that `f(f^(-1)(x))=x`

In this case, replace `f` with `tan` and `x` with `10`.

Then we get

`tan(tan^(-1)(10))=tan(arctan(10))=10`

Answer 2

10

Explanation:

`tan(arctan(10)`

`:.=tan(84.28940656)`

`:.=10`