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

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

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

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

prove that tan theta/(sec theta+1)+cot theta/(cosec theta+1)=cosec theta+sec theta-cosec theta. sec theta

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

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

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