सिद्ध कीजिए कि
`(cosec theta+cot theta)/(cosec theta-cot theta)=(cosec theta+cot theta)^(2)=1+2cot^(2)theta+2 cosec theta cot theta.`

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

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

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

cosec^4 theta-cot^4 theta=cosec^2theta+cot^2 theta

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

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

int(cosec theta-cot theta)/(cosectheta+ cot theta)d theta=

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

(sec theta+tan theta)/(csc theta+cot theta)=(csc theta-cot theta)/(sec theta-tan theta)