(" iii ")(1-cosec^(2)theta)=-1

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

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 ?

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

cosec theta sqrt(1-cos^(2)theta)=1

Prove that identify: (cosec^(2)theta)/(cosectheta-1)-(cosec^(2)theta)/(cosectheta+1)=2sec^(2)theta

"cosec" theta =1/2

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

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

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

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