[cosec theta+cot theta=(cos theta theta+cot theta)^(2)=],[1+2sec theta=cot theta],[1+2cos^(2)theta+2cos theta theta set theta]

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

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

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

prove that (1-cos theta)/(1+cos theta)=(csc theta-cot theta)^(2)

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

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

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 .

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