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If x(1),x(2),x(3),....,x(n) are in A.P...

If `x_(1),x_(2),x_(3),....,x_(n)` are in A.P whose common difference is `alpha` ,
then the value of
`sinalpha(secx_(1)sec_(2)+sec_(2)sec_(3)+...+secx_(n-1)secx_(n))` is

A

`(sin(n-1)alpha)/(cosx_(1)cosx_(n))`

B

`(sin n alpha)/(cosx_(1)cosx_(n))`

C

`sin(n-1)alpha cosx_(1)cosx_(n)`

D

`sin n alphacosx_(1)cosx_(n)`

Text Solution

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The correct Answer is:
A
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