[" 1.(1) (1-cas "^(2)6" ) cosec "^(2)theta=1]

"cosec" theta =1/2

(1-cos^2 theta) 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 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

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

sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4) theta =

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 .

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

Evaluate : |{:(1, cosec ^(2) theta, cot ^(2) theta),(-1 , cot ^(2) theta, cosec ^(2) theta),(2,(9)/(2), (5)/(2) ):}| a) -1 b) 1 c) 0 d) None of these