Question

What is the domain of i)sin ( sin -¹ x ) ii)sin-¹( sin x)?​

Answer 1

°°°QUESTION°°°

What is the domain of i)sin ( sin -¹ x ) ii)sin-¹( sin x)?

°°°ANSWER°°°

It is not at all clear what sin^-(sinx) means.

I am guessing that you missed out an “x” and meant to put sinx^(-sinx)If so, then this produces a very unusual graph. see below.

Its domain is 0 < x < π then 2π < x < 3π then 4π < x < 5π etcand its range is 1≤ y ≤ 1.445

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