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Value of expression sin(pi/9)+sin((2pi)/...

Value of expression `sin(pi/9)+sin((2pi)/9)+sin((3pi)/9)+...+sin((17pi)/9)=`

A

0

B

`-1`

C

1

D

`-3//2`

Text Solution

Verified by Experts

The correct Answer is:
A
`sin.(pi)/(9)+sin.(2pi)/(9)+sin.(3pi)/(9)+……..+sin.(17pi)/(9)`
`{:(+(sin.(2pi)/(9)+sin.(16pi)/(9))),(" ..."),(" ..."),(+(sin.(8pi)/(9)+sin.(10pi)/(9))),(" "+sin.(9pi)/(9)):}`
= 0
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