(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)

(cos theta)/(cosec theta+1)+(cos theta)/(cosec theta-1)=2tan theta

The value of (sec^2 theta)/(cosec^2 theta)+ (cosec^2 theta)/(sec^2 theta)-(sec^2 theta+ cosec^2 theta) is:

Prove that identify: (cosec^(2)theta)/(cosectheta-1)-(cosec^(2)theta)/(cosectheta+1)=2sec^(2)theta

(sin theta)/(cosec theta)+(cos theta)/(sec theta)=1

(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec theta

(iii) (cos theta)/(csc theta+1)+(cos theta)/(csc theta-1)=2/cottheta

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

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

Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .