Question

Why tan inverse principal branch take -pi/2 to pi/2?

Answer 1

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Answer 2

hey mates your answer is here

In mathematics, a principal branch is a function which selects one branch (slice) of a

multivalued function. Most often, this applies to functions defined on the complex plane.

Example:

Trigonometric inverses

Principal branches are used in the definition of many inverse trigonometric functions, such

as the selection either to define that:

sin-1 : [-1, 1] -> [-π/2, π/2]

cos-1 : [-1, 1] -> [0, π]

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