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[" (Q) In which interival does the "],[q...

[" (Q) In which interival does the "],[qquad A=|[1,sin theta,1],[-sin theta,1,sin theta],[-1,-sin theta,1]|=?]

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let Delta=det[[1,sin theta,1-sin theta,1,sin theta-1,-sin theta,1]],0<=theta<=2 pi

cos theta/(1+sin theta)=(1-sin theta)/cos theta

(sin theta)/(1-cos theta)=(1+cos theta)/(sin theta)

(1 + sin theta-cos theta) / (1 + sin theta + cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

sqrt((1+sin theta)/(1-sin theta)?)?

(1 + sin theta-cos theta) / (1 + sin theta + cos theta) =

1+sin(theta)/sin(theta)