Question

For what values of θ is the tangent 0? For what values of θ is the tangent undefined? Explain your answer.

Answer 1

To convert the value of the theta is the tangent 0 so the value would be the same, its, zero, it is where the value of the tangent theta would be undefined. I hope you are satisfied with my answer and feel free to ask for more if you have questions and clarifications

Answer 2

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°