(cosec theta)/(cosec A-1)+(cos alpha A)/(cosec A+1)=2sec^(2)beta

(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)=2sec^2theta

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

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

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

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

Prove that ((1+cos theta)/(cos theta))((1-cos theta)/(cos theta))cosec^(2)theta=sec^(2)theta

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

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

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

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