" (v) "sqrt((sec A-tan A)/(sec A+tan A))=?" (c) "2sec thetaquad " (d) "2cosec theta

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

( sec theta + tan theta )/("cosec " theta + cot theta ) -(sec theta - tan theta )/( " cosec" theta - cot theta )=

Prove the following identity : sqrt (sec^2 theta+ cosec^2 theta)= tan theta+ cot theta= sec theta cosec theta .

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

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

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

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

intsecx/(sqrt(sin(2x+theta)+sin theta))dx(AA x,theta in(0,(pi)/(2))) (A) sqrt(3(tan x sec theta+tan theta sec theta))+c (B) sqrt(2(tan x sec theta+tan theta sec theta))+c (C) sqrt(5(tan x sec theta-tan theta sec theta))+c (D) sqrt((tan x sec theta-tan theta sec theta))+c

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

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