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Question
Evaluate the following:
`sec^-1(sec (9pi)/5)`
Solution
We know that
sec-1 (sec θ) = θ, [0, π/2) ∪ (π/2, π]
We have
`sec^-1(sec (9pi)/5)=sec^-1[sec(2pi-pi/5)]`
`=sec^-1[sec(pi/5)]`
`=pi/5`
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