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[cot((pi)/(4)+theta)cot((pi)/(4)-theta)]...

[cot((pi)/(4)+theta)cot((pi)/(4)-theta)]

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I : If sin((pi)/(4)cot theta)=cos ((pi)/(4)tan theta) then theta = n pi+pi//4, n in Z II : If tan ((pi)/(2)sin theta)=cot((pi)/(2)cos theta) then sin (theta + (pi)/(4))= pm (1)/(sqrt(2))

If sin ((pi)/(4) cot theta)= cos ((pi)/(4) tan theta), then the general value of theta is-

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cos ((3pi)/(2)+theta) cos (2pi+theta) xx [ cot ((3pi)/(2) -theta) + cot (2pi + theta) ] = ?

If theta in ((pi)/(2), (3pi)/(2)), then the value of sqrt(4 cos ^(4) theta + sin ^(2) 2 theta) + 4 cot theta cos ^(2) ((pi)/(4) -(theta)/(2)) is .............. A) -2 cot theta B) 2 cot theta C) 2 cos theta D) 2 sin theta