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 
.
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