" 18."tan theta-tan(theta)/(2)=sec(theta)/(2)

Prove that :1+tan theta tan2 theta=sec2 theta

(tan theta)/(sec theta-1)+(tan theta)/(sec theta+1)=2cos ec| theta

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

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

sec theta+tan theta=tan((pi)/(4)+(theta)/(2))

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

(sec theta+tan theta)/(sec theta-tan theta)+(sec theta-tan theta)/(sec theta+tan 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 1+tan theta tan2 theta=sec2 theta

Prove that 1 + tan 2 theta tan theta = sec 2 theta .