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

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 ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

("cosec " theta - sin theta ) ( sec theta - cos theta ) ( tan theta + cot theta ) =

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

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

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

Prove that (sin theta - cos theta + 1)/(sin theta + cos theta - 1) = (1)/(sec theta - tan theta) using the identity sec^(2) theta = 1 + tan^(2) theta .

1+ cos 2 theta + cos 4 theta + cos 6 theta =

Show that (1)/(cos theta) - cos theta = tan theta. sin theta