" 3) सिद्ध कीजिए कि "(cosec^(2)theta-1)*(sec^(2)theta-1)=1

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

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

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

1/sec^2theta+1/(cosec^(2)theta)=1

1/sec^2theta+1/(cosec^(2)theta)=

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

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

Prove each of the following identities : (i) (sec^(2) theta -1) cot^(2) theta =1 " " (ii) (sec^(2) theta -1) ("cosec"^(2)theta -1) =1 (iii) (1- cos^(2) theta )sec^(2) theta = tan^(2) theta

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

Prove that (i) ("cosec"^(2) theta-1 ) tan^(2) theta =1 " " (ii) (sec^(2) theta -1)(1- "cosec"^(2) theta )=-1