1+((1-tan theta)/(1-cot theta))^(2)=sec^(2)theta

Prove: (1+tan^(2)theta)/(1+cot^(2)theta)=((1-tan theta)/(1-cot theta))^(2)=tan^(2)theta

prove that: (1-tan theta)^2+(1-cot theta)^2=(sec theta - cosec theta)^2

What is (1+ tan^(2) theta)/(1+cot^(2) theta) -((1-tan theta)/(1-cot theta ))^(2) equal to ?

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

Prove each of the following identities : (tan theta)/((1-cot theta)) + (cot theta)/((1- tan theta)) = (1+ sec theta "cosec" 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 each of the following identities : (i) 1+ (cot^(2) theta)/((1+ "cosec"theta))= "cosec" theta (ii) 1+ (tan^(2) theta)/((1+ sec theta))= sec theta

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

Prove that (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta+tan theta