Evaluate each of the following:
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 .