Answer :

The value of cosec = –2.


Let,


cosec–1–2 = y


cosec y = –2


–cosec y = 2


–cosec = 2


As we know cosec(–θ) = –cosecθ


–cosec = cosec


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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