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If sec^(-1) x = cosec^(-1) y, then find ...

If `sec^(-1) x = cosec^(-1) y`, then find the value of `cos^(-1).(1)/(x) + cos^(-1).(1)/(y)`

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`sec^(-1) x = cosec^(-1) y`
or `cos^(-1).(1)/(x) = sin^(-1).(1)/(y)`
or `cos^(-1).(1)/(x) = (pi)/(2) - cos^(-1).(1)/(y)`
or `cos^(-1).(1)/(x) + cos^(-1).(1)/(y) = (pi)/(2)`
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