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

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

cos theta . Cosec theta = cot theta

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

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

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

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

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

Prove that cosec^(2) theta + sec^(2) theta = cosec^(2) theta sec^(2) theta .

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

(sin 2 theta)/(1-cos 2 theta)=cot theta