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

The possible values of ` theta in (0,pi)` such that `sin (theta)+sin(4 theta )+sin (7 theta )=0` are

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

Verified by Experts

The correct Answer is:
A
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The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/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

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