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

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

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

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

tan^(2)theta+cot^(2)theta+2=sec^(2)theta cosec^(2)theta

Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-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 .

Write the value of (tan^(2)theta-sec^(2)theta)/(cot^(2)theta-"cosec"^(2)theta).

(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 tan^(2)theta+cot^(2)theta=sec^(2)theta+cosec^(2)theta-2

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