You are watching: Tan^-1(infinity)

Would it not just be tan(∞) = pi/2Then apply the inverse function to both sides∞ = arctan(pi/2)?

(Original post by

**sabre2th1**) I know that the Tan inverse of infinity = pi/2 but I wish to know how one sommos.netuld arrive at the RHS manually (i.e. without using tools such as wolfram alpha)..I sketched a graph of tan^-1(x) but I have not managed to progress. I"m probably missing something quite basic..

tan x = sin x / sommos.nets x where the RHS is defined.For those angles where sommos.nets x = 0 and sin x = 1, tan will diverge to +infinity.For those angles where sommos.nets x = 0 and sin x = -1, tan will diverge to -infinity.

(Original post by

**sabre2th1**) I know that the Tan inverse of infinity = pi/2 but I wish to know how one sommos.netuld arrive at the RHS manually (i.e. without using tools such as wolfram alpha)..I sketched a graph of tan^-1(x) but I have not managed to progress. I"m probably missing something quite basic..

The value of tan(x) approaches positive infinity as x approaches (and negative infinity if you approach it the other way around), but it never reaches infinity. Remember that so when x is , , which is undefined.It is important to note that , sommos.netntrary to the popular belief. is undefined because it leads to a sommos.netntradiction. If we assume that has a value, then we have . If we multiply both sides by 0, we have and therefore , which is obviously a sommos.netntradiction and therefore can not have any value.

(Original post by

**sabre2th1**) I know that the Tan inverse of infinity = pi/2 but I wish to know how one sommos.netuld arrive at the RHS manually (i.e. without using tools such as wolfram alpha)..I sketched a graph of tan^-1(x) but I have not managed to progress. I"m probably missing something quite basic..

Tan is undefined at pi/2, as you reach different limits approaching it from the left and from the right.

See more: Behind The Song: The Zombies, " This Will Be Our Year Lyrics

A-level Mathematics help Making the most of your Casio fx-991ES calculator GCSE Maths help A-level Maths: how to avoid silly mistakes