# How do you find the exact value of #arctan(cot(11π / 6))#?

##### 1 Answer

#### Explanation:

So, the exact value of

= the operand

against the given operand

If the solution is sought as a principal value in

use the general solution

For,

Your calculator might gives the answer as

All these are attributed to the convention that inverse trigonometric

functions give principal values only. The algorithms in the

software for computer approximations of inverse trigonometric

functions are based on this convention..For example,

For applications, it has to be remembered that trigonometric

functions are periodic, and are bijective only in a part of one period,

in which the principal value is defined,. For example, sin x is

bijective in