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

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

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

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

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

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

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

Prove the following identity : (sin theta)/(1+cos theta)+ (tan theta)/(1+cos theta)= sec theta cosec theta- cot theta .

Prove the following identities: (sin theta)/(1-cos theta)+(tan theta)/(1+cos theta)=sec theta cos ect+cot theta

cos ec theta(sec theta-1)-cot theta(1-cos theta)=tan theta-sin theta

cos ect theta(sec theta-1)-cot theta(1-cos theta)=tan theta-sin theta