" 1."cot(1)/(2)theta-cot theta=cosec(1)/(2)theta

cosec^(2)theta-cot^(2)theta-1

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

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

Without expanding show that: cosec theta,cot^(2)theta,1cot^(2)theta,csc^(2)theta,-142,40,2]|=0

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) 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 .

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

1+(cot^(2)theta)/(1+csc theta)=csc theta

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

cosec^(2)theta=1+cot^(2)theta