Consider f(theta)=|[sin theta,cos theta,...

Consider `f(theta)=|[sin theta,cos theta,sin theta],[cos theta,sin theta,cos theta],[cos theta,sin theta,sin theta]|` then
A) `f(theta)=0` has exactly `2` real solutions in `[0,pi]`
B) `f(theta)=0` has exactly `3` real solutions in `[0,pi]`
C) Range of function `(f(theta))/(1-sin2 theta)` is `[-sqrt(2),sqrt(2)]`
D) Range of function `(f(theta))/(sin2 theta-1)` is `[-3,3]`

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