If a(1), a(2), …..,a(n) are in A.P. with...

If `a_(1), a_(2), …..,a_(n)` are in A.P. with common difference `d ne 0,` then the sum of the series sin `d[sec a_(1) sec a_(n-1) sec a_(n)]` is

`sec a_n - sec a_1`

`sin a_n - sin a_1`

`cos a_n - cos a_1`

`tan a_n - tan a_1`

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