[" 1.सिद्ध कीजिए- "],[" (i) "sqrt((1-cos A)/(1+cos A))=cosec A-cot A]

sqrt((1+cos theta)/(1-cos theta))=csc theta+cot theta

sqrt((1-cos theta)/(1+cos theta))=cosec theta-cot theta (Prove It)

Prove the following identities : sqrt ((1 - cos A) /(1 + cos A)) = cosec A - cot A

Prove that : (1 + cos A)/(1 - cos A) = (cosec A + cot A)^(2)

sin A(1+tan A)+cos A(1+cot A)=sec A+cosec A

sqrt((1-cos A)/(1+cos A))+sqrt((1+cos A)/(1-cos A))=2cosec A

Prove that , (Cot A-cos A)/(cot A+cos A)=(cosec A-1)/(cosec A+1)

Show that sqrt((1+cos alpha)/(1-cos alpha))=cosec alpha + cot alpha

Prove each of the following identities : (i) sqrt((1+ sin theta)/(1- sin theta)) = ( sec theta + tan theta) (ii) sqrt((1- cos theta)/(1+ cos theta))= ("cosec" theta - cot theta) (iii) sqrt((1+ cos theta)/(1- cos theta))+ sqrt((1- cos theta)/(1+ cos theta)) = 2 "cosec" theta

(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)