Prove that (sec2A – 1 ) (cosec2A – 1 ) = 1

(sec^2 θ − 1)(cosec^2 θ − 1) = 1

(sec2a-1)(cosec2a-1)=1

cos2a+1/1+cot2a=1

(sec^2 theta-1)(1-cosec^2 theta)=-1

(sec2a-1)(cosec3a-1)=0

tan theta 1/tan theta sec theta cosec theta

sec 2theta 1 cosec 2theta 1 1

(1-cos2a)sec2a=tan2a

sec2a-1 formula