Question

Find the exact value expression. tan^-1 (0)

Answer 1

Answer:

Hence, the exact value of the expression is:

0

Step-by-step explanation:

We are given a expression as:

tan^-1 (0).

We have to find the value of a angle such that it is obtained on taking inverse of tangent of 0.

Let us consider,

Θ=tan^-1(0)

on taking tangent function on both side of the equation we get:

tan(θ)=tan(tan^-1(0))

tan(θ)=0

tan(θ)=tan(0)

since,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

Hence,

$\tan(0)=\dfrac{\sin 0}{\cos 0}\\\\\tan 0=\dfrac{0}{1}\\\\\tan 0=0$

Hence we get:

Θ=0.

Hence, the exact value of the expression is:

0

Answer 2

Zero. The negative one means arctan. Arctan times 0 is 0.