[" lumn I "],[" (A) "1+(cot^(2)theta)/(1+cosec theta)]

1+(cot^(2)theta)/(1+csc theta)=csc theta

Prove each of the following identities : (i) 1+ (cot^(2) theta)/((1+ "cosec"theta))= "cosec" theta (ii) 1+ (tan^(2) theta)/((1+ sec theta))= sec theta

cosec^(2)theta=1+cot^(2)theta

The value of 1/(sin theta)-(cot^2 theta) /(1+cosec theta) is : 1/(sin theta)-(cot^2 theta) /(1+cosec theta) का मान है :

Prove the following identity : (cot^2 theta)/((1- cosec theta)^2)= (1+sin theta)/(1-sin theta) .

Prove that 1+cot^(2) theta = cosec^(2) theta

Prove that 1+cot^(2) theta = cosec^(2) theta

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

cosec^(2)theta-cot^(2)theta-1

(b) cosec theta=1+cot theta