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Question
Evaluate the following:
`cosec^-1{cosec (-(9pi)/4)}`
Solution
We know that
cosec-1 (cosec θ) = θ, [-π/2,0) ∪ (0,π/2]
`cosec^-1{cosec (-(9pi)/4)}=cosec^-1[-cosec(2pi+pi/4)]`
`=cosec^-1(-cosec pi/4)`
`=cosec^-1(cosec-pi/4)`
`=-pi/4`
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