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

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

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

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

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

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

Prove that : (cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=sin theta+cos theta

Prove that: ((1+ cot theta + tan theta)(sin theta - cos theta))/(sec^(3)theta - "cosec"^(3)theta) = sin^2 theta cos^2 theta

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

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