If y=sinx[1/(sinxsin2x)+1/(sin2xsin3x...

If
`y=sinx[1/(sinxsin2x)+1/(sin2xsin3x)+...+1/(sinnx sin (n+1)x)]`
then `(dy)/(dx)`=

A

`cot x -cot (n+1)x`

B

`(n+1) cosec^2 (n+1) x- cosec^2 x`

C

`cosec^2 x-(n+1) cosec^2 (n+1)x`

D

`cot x+ cosec^2 x`

Verified by Experts

The correct Answer is:

B

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