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

(cos theta)/(sec theta-tan theta)=1+sin theta

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

Prove that (sec theta+tan theta)(1-sin theta)=cos theta

Prove each of the following identities : (i) (sec theta -1)/(sec theta +1) =(sin^(2) theta)/((1+ cos theta)^(2) ) (ii) (sec theta - tan theta)/(sec theta + tan theta) = (cos^(2) theta)/((1+ sintheta)^(2))

(sec theta+tan theta)/(sec theta-tan theta)+(sec theta-tan theta)/(sec theta+tan theta)

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

Prove : (sec theta+tan theta)(1-sin theta)=cos theta .

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

(tan A) / (1-cot A) + (cot A) / (1-tan A) = 1 + tan A + cot A = 1 + sec A cos ecA (1 + cos theta + sin theta) / (1 + cos theta-sin theta) = (1 + sin theta) / (cos theta)