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Question
Evaluate the following:
`cosec^-1(cosec (11pi)/6)`
Solution
We know that
cosec-1 (cosec θ) = θ, [-π/2,0) ∪ (0,π/2]
`cosec^-1(cosec (11pi)/6)=cosec^-1[cosec(2pi-pi/6)]`
`=cosec^-1(cosec - pi/6)`
`=-pi/6`
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