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If the system of linear equations {:((...

If the system of linear equations
`{:((cos theta)x + (sin theta) y + cos theta=0),((sin theta)x+(cos theta)y + sin theta=0),((cos theta)x + (sin theta)y -cos theta=0):}`
is consistent , then the number of possible values of `theta, theta in [0,2pi]` is :

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