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

Prove that cot^2(90^@-theta)/(tan^2theta-1)+Cosec^2theta/(sec^2theta-cosec^2theta)=1/(sin^2theta-cos^2theta) .

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

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

The value of sin^(2)theta cos^(2)theta(sec^(2)theta+cosec^(2)theta)-1 is

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

If tan theta=(1)/(sqrt(7)), then (csc^(2)theta-sec^(2)theta)/(csc^(2)theta+sec^(2)theta)=?

Prove that: ((1+ cot theta + tan theta)(sin theta - cos theta))/(sec^(3)theta - "cosec"^(3)theta) = sin^2 theta cos^2 theta

Prove that (i) sec^(2) theta + "cosec"^(2) theta = sec^(2) theta "cosec"^(2) theta (ii) tan^(2) theta - sin^(2)theta = tan^(2)theta sin^(2)theta (iii) tan^(2) theta + cot^(2)theta +2 = sec^(2) theta "cosec"^(2) theta