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_(2) +..... sec a_(n-1) sec a_(n)]` is

If a_(1), a_(2) ……… a_(n) are in A.P with common difference d ne 0, then sum of the series sin d [ sec a_(1) sec a_(2) + sec a_(2) sec a_(3) + …. + sec a_(n - 1) sec a_(n) ]

if a_(1), a_(2) , a_(3),"……",a_(n) are in A.P. with common difference d, then the sum of the series : sin d [coseca_(1) coseca_(2) + cosec a_(2) cosec a_(3) + "…."cosec a_(n-1) cosec a_(n)] is :

If a_(1), a_(2), ……., a_(n) are in A.P. with common differece d != 0 , then (sin d) [sec a_(1) sec a_(2) + sec a_(2) sec a_(3) + .... + sec a_(n - 1) sec a_(n)] is equal to

If a_(1), a_(2), a_(3).,,,,,,,,a_(n) are in A.P and their common difference is d. The value of the series sin d_(1) [sec a_(1).sec a_(2) + sec a_(2).sec a_(3)+ ….+ sec a_(n-1).sec a_(n)] is……..

If a_(1),a_(2),a_(3),...a_(n) are in A.P with common difference d then find the sum of the following series sin d(cos eca_(1)cos eca_(2)+cos eca_(2)cos eca_(3)+....cos eca_(n-1)cos eca_(n))

If a_1,a_2,…………..a_n are in AP with common difference d ne 0 then find (sin d) [sec a_1 sec a_2+ sec a_2 sec a_3+…….+sec a_(n-1) sec a_n]

If a_(1), a_(2), a_(3)…..a_(n) are in A.P. with common difference d then sin d [cosec a_(1) cosec a_(2) + cosec a_(2) cosec a_(3) + cosec a_(3) cosec a_(4)+ …"n terms"] =

If a_(1), a_(2), a_(3),….a_(n) be an A.P with common difference d, then sec a_(1) sec a_(2) + sec a_(2) sec a_(3) + …+ sec a_(n-1) sec a_(n) =

If a_(1),a-(2),a_(3),………….a_(n) are in A.P. with common differecne d, prove that sin [cosec a_(1)coseca_(2)+cosec a_(2)cosec a_(3)+………….+cosec a_(n-1)cosec a_(n)]=cota_(1)-cota_(n) .