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

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

sqrt((1+ cos theta)/( 1- cos theta)) + sqrt((1- cos theta)/( 1 + cos theta )) ( 0 lt theta lt pi ) is

Prove that ((1+sin theta- cos theta)/(1+sin theta+costheta))^2=(1-cos theta)/(1+cos theta)

Prove: (1 + cot^2 theta) (1 + cos theta)(1-cos theta) = 1

Given cot theta =(7)/(8) , then evaluate (i) ((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) " "(ii) ((1+sin theta ))/( cos theta )

Show that ((cos theta - cos 3 theta) (sin 8 theta + sin 2 theta))/((sin 5 theta - sin theta) (cos 4 theta- cos 6 theta))=1

(cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

Show that ((cos theta - cos 3theta)(sin 8theta + sin 2 theta))/((sin 5 theta - sin theta)(cos 4 theta - cos 6 theta)) = 1

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

Solve cosec^(2)theta-cot^(2) theta=cos theta .