Answer:
We are given : tanθ
Now, we need to find the values of θ for which the tanθ gives 0 and ∞ (undefined)
First, finding the value of θ such that tanθ = 0
⇒ tanθ = 0
\(\implies\theta=\tan^{-1}0\\\\\implies \theta=\tan^{-1}\tan 0\\\\\implies \theta=0\)
Thus, for tangent 0 the value of θ = 0
Now, finding the value of θ such that tanθ = ∞
⇒ tanθ = ∞
\(\implies\theta=\tan^{-1}\infty\\\\\implies \theta=\tan^{-1}\tan 90\\\\\implies \theta=90\)
Thus, for tangent ∞ the value of θ = 90°
