Question

Cosec theta + cot theta =m and cosec theta- cot theta= n prove that mn= 1

Answer 1

(cosec theta + cot theta)(cosec theta-cot theta) = cosec^2 theta -cot^2theta........(a+b)(a-b)=a^2-b^2 =1 as( cosec^2thetha-cot^2theta =1)