"Show that ":(1+cos ec^(2)alpha tan^(2)theta)/(1+cosec^(2)beta tan^(2)theta)=(1+cot^(2)alpha sin^(2)theta)/(1+cot^(2)beta sin^(2)theta)

prove that (1+cos ec^(2)alpha*tan theta)/(1+cos ec^(2)beta*tan^(2)theta)=(1+cot^(2)alpha*sin^(2)theta)/(1+cot^(2)beta*sin^(2)theta)

prove that (1+cosec^2alpha*tantheta)/(1+cosec^2beta*tan^2theta)=(1+cot^2alpha*sin^2theta)/(1+cot^2beta*sin^2theta)

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

Write the value of sin^(2)theta cos^(2)theta(1+tan^(2)theta)(1+cot^(2)theta).

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

(tan theta)/((1+tan^(2)theta)^(2))+(cot theta)/((1+cot^(2)theta)^(2))=sin theta cos theta

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)

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