please answer this.
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cross multiply :
cot2 theta + (cosec theta + 1)2/ cot theta ( cosec theta + 1)
cot2 theta + cosec2 theta + 1 + 2cosec theta / cot theta (cosec theta +1)
(1+ cot2 theta = cosec2 theta)
cosec2 theta + cosec2 theta + 2 cosec theta/ cot theta ( cosec theta + 1)
2cosec2theta + 2 cosec theta/cot theta ( cosec theta +1)
2 cosec theta( cosec theta + 1)/ cot theta (cosec theta +1)
(Cosec theta + 1 gets cancelled)
2 cosec theta/ cot theta
2 * 1/sin theta / cos theta/sin theta
2* 1/cos theta = 2 sec theta.
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