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If f(theta) =|[cos^(2) theta,cos theta s...

If `f(theta) =|[cos^(2) theta,cos theta sin theta,-sin theta],[cos theta sin theta,sin^(2) theta,cos theta],[sin theta, -costheta,0]|` then, `f(pi /6) +f(pi /3) +f(pi /2) +f((2 pi) /3) +f((5 pi) /6) +f(pi)` is equal to

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