The value of cosec is 2.

∴ The question becomes cosec^–1(2)

Let,

cosec^–1(2) = y

∴ cosec y = 2

⇒ cosec = 2

The range of principal value of cosec^–1 is –{0} and

cosec = 2

Therefore, the value of cosec^–1(cosec) is .