Question

Evaluate the function f(x)=tan^-1(x) when x=0. Give your answer in radians.

Answer 1

The answer is equal to 0.

Answer 2

The value of the given function f(x) at x = 0 is 0

Explanation:

The function is given to be :

`f(x)=\tan^(-1)x`

Now, we need to find the value of the given function f(x) when x = 0

So, To find f(0) we substitute x = 0 in the given function f(x)

`\implies f(x)=\tan^(-1)x\\\\\implies f(0)=\tan^(-1)(0)\\\\\implies f(0)=\tan^(-1)(\tan 0)\\\\\implies f(0)=\tan^(-1)\tan(0)\\\\\implies f(0)=0`

Therefore, The value of the given function f(x) at x = 0 is 0