Mathematics Sequences and Series Arithmetic Progressions

If α1, α2,...., αn are in A.P. with common difference θ, then the sum of the series sec α1 sec α2 + sec α2 sec α3 + ....+ sec αn-1 sec αn = k(tan αn - tan α1) where k = 

1
sin θ
2
cos θ
3
sec θ
4
cosec θ

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