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,
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Hence,
[tex]\tan(0)=\dfrac{\sin 0}{\cos 0}\\\\\tan 0=\dfrac{0}{1}\\\\\tan 0=0[/tex]
Hence we get:
Θ=0.
Hence, the exact value of the expression is:
0
