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

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)secx_(2)+secx_(2)secx_(3)+...+secx_(n-1)secx_(n))`is

A

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

B

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

C

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

D

`sinn alphacosx_(1)cosx_(n)`

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The correct Answer is:
A
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