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Question
Find the principal value of cosec–1(– 1)
Solution
Let y = cosec–1(– 1)
Where `- pi/2 ≤ y ≤ pi/2`
cosec y = – 1
`1/("cosec" y) = 1/(-1)`
⇒ sin y = – 1
= `sin (- pi/2)`
⇒ y = `- pi/2`
∴ The principal value of cosec–1(– 1) = `- pi/2`
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