" 1.(i) "(1-cos^(2)theta)cosec^(2)theta=1

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

Prove that : (i) 1+(cos^(2)theta)/(sin^(2)theta)-"cosec"^(2)theta=0 (ii) (1+tan^(2)theta)/("cosec"^(2)theta)=tan^(2)theta

Prove that : (i) 1+(cos^(2)theta)/(sin^(2)theta)-"cosec"^(2)theta=0 (ii) (1+tan^(2)theta)/("cosec"^(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 ?

If l cos^(2) theta + m sin^(2) theta = (cos^(2) theta ("cosec"^(2) theta+1)/("cosec"^(2) theta -1)) then what is the value of tan^(2) theta .

The value of (1+ cos theta)(1- cos theta) "cosec"^(2) theta =

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

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

Prove that ((1+cos theta)/(cos theta))((1-cos theta)/(cos theta))cosec^(2)theta=sec^(2)theta