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

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

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

Prove that;- ((tan^2theta)/(sec^2theta))+((cot^2theta)/(cosec^2theta))=1

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

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

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

(1-sec^2theta)(1-cosec^2theta) =...... A . 3 B.-1 C. 4 D. 1

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 .

The value of (sec^2 theta)/(cosec^2 theta)+ (cosec^2 theta)/(sec^2 theta)-(sec^2 theta+ cosec^2 theta) is: