" (1) "(cos theta-sin theta+1)/(cos0+sin theta-1)=cosec theta+cot theta

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

(sin theta)/(1-cos theta)=cos ec theta+cot theta

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

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

(1)/(cos ec theta-cot theta)-(1)/(sin theta)=(1)/(sin theta)-(1)/(cos ec theta+cot theta)

show that (1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta] = cot theta

Prove: (1+cos theta-sin^(2)theta)/(sin theta(1+cos theta))=cot theta

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