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

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

(sec^2theta-1)(cosec^2theta-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 .

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 ?

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

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

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

If tan theta = 1/sqrt7 " then" ((cosec^(2) theta -sec^(2) theta))/((cosec^(2)theta + sec^(2) theta)) is equal to

If tan theta =(1)/(sqrt(5)), " write the value of " (("cosec"^(2)theta-sec^(2)theta))/(("cosec"^(2)theta+sec^(2)theta)).