" (ii) "(sec^(2)theta-1)(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

Consider the following statements : 1. (sec^(2) theta-1)(1-cosec^(2)theta)=1 2. sin theta (1+ cos theta)^(-1) + (1+ cos theta)(sin theta)^(-1) = 2 cosec theta Which of the above is/are correct ?

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

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

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

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

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

Evaluate the following (sec^(2) theta -1 ) (cosec ^(2) theta -1)

Evaluate the following (sec^(2) theta -1 ) (cosec ^(2) theta -1)