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

Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

cos theta . Cosec theta = cot theta

Prove that (1+cot theta - cosec theta)(1+tan theta + sec theta) =2 .

Prove that: (sin theta - cos theta +1)/(sin theta + cos theta -1) = (1)/(sec theta - tan theta)

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 ]

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

( 1 + tan theta + sec theta ) ( 1 + cot theta - cosec theta ) =

(sin theta)/(cosec theta)+(cos theta)/(sec theta)=1

Prove that (sec theta + tan theta)^(2) = (cosec theta +1)/(cosec theta -1) .

Prove that: sin theta (1 + tan theta) + cos theta (1+ cot theta) = sec theta + cosec theta .