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Question
Evaluate the following:
`cosec^-1(cosec (6pi)/5)`
Solution
We know that
cosec-1 (cosec θ) = θ, [-π/2,0) ∪ (0,π/2]
`cosec^-1(cosec (6pi)/5)=cosec^-1[cosec(pi+pi/5)]`
`=cosec^-1(cosec-pi/5)`
`=-pi/5`
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