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The solution set of the system of equati...

The solution set of the system of equations `x+y=(2pi)/3,cosx+cosy=3/2,` where `xa n dy` are real, is ________

A

`n pi+(-1)^(n)"sin"^(-1)(3)/(2)+(pi)/(6)`

B

`2n pi pm "cos"^(-1)(3)/(2)-(pi)/(6)`

C

no solution

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`cos x + cos ((2pi)/(3)-x)=(3)/(2)`
`(cos x)/(2)+(sqrt(3))/(2)sin x = (3)/(2)`
`rArr sin ((pi)/(6)+x)=(3)/(2)` (not possible)
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