<    1      2    >

---

tan^-1

The inverse tangent is written with logarithms as

 

---

Explanation

We start from the tangent

Substitution of e^iθ = k gives

We only continue with the positive solution and substitute k = e^iθ so that

On both sides we take the logarithm

Substitution of θ = arctan x gives

 

---

Alternative notation

 

---

Mutual relations

 

---

Example 1

You can see that tan⁻¹(0) = 0, as

 

---

Deutsch   Español   Français   Nederlands   中文   Русский