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The general solution of the system of eq...

The general solution of the system of equation `sin^(3) x + sin^(3) ((2pi )/( 3) + x) +sin^(3) ((4pi)/( 3) +x ) ` and `+(3)/( 4) cos 2x= 0` `cos x cancel(=) 0` is

A

`x = ((2k +1 )pi)/(10) , k in Z`

B

`x = ((2k +1 )pi)/(5) , k in Z`

C

`x = ((4k +1 )pi)/(10) , k in Z`

D

`x = ((4k +1 )/(5))pi , k in Z`

Text Solution

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The correct Answer is:
C
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