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The possible values of theta in (0,pi) s...

The possible values of `theta in (0,pi)` such that `sin (theta) + sin (4theta) + sin(7theta) = 0` are (1) `(2pi)/9 , pi/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9` (2) `pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9` (3) `(2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36` (4) `(2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9`

A

`(2pi)/(9),(pi)/(4),(4pi)/(9),(pi)/(2),(3pi)/(4),(8pi)/(9)`

B

`(pi)/(4),(5pi)/(12),(pi)/(2),(2pi)/(3),(3pi)/(4),(8pi)/(9)`

C

`(2pi)/(9),(pi)/(4),(pi)/(2),(2pi)/(3),(3pi)/(4),(35pi)/(36)`

D

`(2pi)/(9),(pi)/(4),(pi)/(2),(2pi)/(3),(3pi)/(4),(8pi)/(9)`

Text Solution

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The correct Answer is:
A
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