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" (i) "(cosec(5)theta-cot theta)^(2)=(1-...

" (i) "(cosec_(5)theta-cot theta)^(2)=(1-cos theta^(2)+theta)/(1+cos theta-theta)

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Prove that (cosec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta) OR If sin theta+cos theta = sqrt(2) sin (90-theta) determine cot theta