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Question
For the principal value, evaluate the following:
`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`
Solution
`sec^-1(sqrt2)+2cosec^-1(-sqrt2)=sec^-1(sec pi/4)+2cosec^-1[cosec(-pi/4)]`
`=pi/4-2xxpi/4`
`=pi/4-pi/2`
`=-pi/4`
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