Let \displaystyle f:A\rightarrow B be a function defined by \displ | Filo

Class 12

Math

Calculus

Inverse Trigonometric Functions

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150

Let be a function defined by where f is a bijective function, means f is injective (one-one) as well as surjective (onto), then there exist a unique mapping such that if and only if Then function g is said to be inverse of f and vice versa so we write when branch of an inverse function is not given (define) then we consider its principal value branch.

If ,then equals?

Solution: Let

such that

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