If `tan theta=2/3` then `((2+2sec theta)(1-sec theta))/((2+2cosec theta)(1-cosec theta))=`

If tan theta=1/ sqrt7 , then ((cosec^2 theta-sec^2 theta)/(cosec^2 theta+sec^2 theta)) =

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

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

(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec theta

If tan ^2 theta =1-e ^(2), then sec theta + tan ^(3) theta cosec theta =

If tan^(2) theta=1- k^(2) then sec theta+ tan^(3) theta "cosec" theta=

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

" (2.) "tan theta+cot theta=sec theta cosec theta

If ((sin theta-cosec theta)(cos theta- sec theta))/(tan^2 theta-sin^2 theta)=r^3 , then r=? यदि ((sin theta-cosec theta)(cos theta- sec theta))/(tan^2 theta-sin^2 theta)=r^3 है, तो r = ?

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