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(1)/(cosec theta-cot theta)-(1)/(sin the...

(1)/(cosec theta-cot theta)-(1)/(sin theta)=(1)/(sin theta)-(1)/(cosec theta+cot theta)

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(1)/(csc theta-cot theta)-(1)/(sin theta)=(1)/(sin theta)-(1)/(csc theta+cot theta)

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(1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .