[" 3."(1)" (1"1+cos theta)(1-cos theta)(1+cot^(2)theta)=1],[" (ii) "cosec theta(1+cos theta)(cosec theta-cot theta)=1]

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

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

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

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

( 1 + cos theta) ( 1 - cos theta ) cosec^2 theta =

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

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

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