Question

what is the exact value of tan(arctan 4)

Answer 1

\[\tan(\tan^{-1}x) = x\]

Use this to get the answer...

Answer 2

What do I do with that exactly?

Answer 3

See compare the formula with the given question what is the value of x?/
I mean what is in place of x when you compare it with the question?

Answer 4

Oh okay thank you!

Answer 5

PS is that just because they cancel each other out?

Answer 6

x=tan(y)
arctan(x)=y

x=tan(arctan(4))
arctan (x)=arctan(4)
x=4

Answer 7

Welcome dear..

And you must remember:

\[\tan(\tan^{-1}x) = \tan^{-1}(tanx) = x\]