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

(1)/(1+sin^(2)theta)+(1)/(1+cos^(2)theta)+(1)/(1+sec^(2)theta)+(1)/(1+csc^(2)theta)=2

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

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

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

(1/(1+sin^2 theta)+1/(1+cosec^2 theta)) =?

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

Prove that (1+(1)/(tan^(2) theta ))(1+(1)/(cot^(2) theta ))=sec^(2) theta . "cosec"^(2) theta

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

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

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