if cosec thita- cott hita=2 then cosec thita equal to what
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r= cosec theta - cot theta
so, 1= 1(cosec theta -cot theta)
=(cosec theta +cot theta) cosec^2 theta - cot^2 theta
[ multiplying num. and denom. by (cosec theta +cot theta)]
=cosec theta +cot theta (proved)
as cosec theta= r +cot theta
so, 1sin theta= r+ cot theta
=>sin theta= 1(r+cot theta)
and, cot theta= cosec theta- r
=>tan theta= 1( cosec theta - r)
r= cosec theta - cot theta
so, 1= 1(cosec theta -cot theta)
=(cosec theta +cot theta) cosec^2 theta - cot^2 theta
[ multiplying num. and denom. by (cosec theta +cot theta)]
=cosec theta +cot theta (proved)
as cosec theta= r +cot theta
so, 1sin theta= r+ cot theta
=>sin theta= 1(r+cot theta)
and, cot theta= cosec theta- r
=>tan theta= 1( cosec theta - r)
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