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Question
Find the principal value of `sec^-1 (- sqrt(2))`
Solution
Let y = `sec^-1 (- sqrt(2))`
Where 0 ≤ y ≤ π
sec y = `- sqrt(2)`
`y +- pi/2`
`1/sec y = - 1/sqrt(2)`
cos y = `- 1/sqrt(2)`
∴ The principal value of `sec^-1 (- sqrt(2)) = (3pi)/4`
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