For what values of θ is the tangent 0? for what values of θ is the tangent undefined? explain your 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

Thus, for tangent 0 the value of θ = 0

Now, finding the value of θ such that tanθ = ∞

⇒ tanθ = ∞

Thus, for tangent ∞ the value of θ = 90°