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Question
Evaluate:
`cosec{cot^-1(-12/5)}`
Solution
`cosec{cot^-1(-12/5)}=cosec{cot^-1(pi-12/5)}`
`=cosec{cot^-1(12/5)}`
`=cosec{sin^-1((5/12)/sqrt(1+(5/12)^2))}`
`=cosec{sin^-1(5/13)}`
`=cosec{cosec^-1(13/5)}`
`=13/5`
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