Prove that
`(sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(2)=(7+ tan^(2) theta + cot^(2) theta).`

Prove that: (sin theta-cos ec theta)^(2)+(cos theta-sec theta)^(2)=cot^(2)theta+tan^(2)theta-1

Prove that : (sin theta + sec theta) ^(2) + (cos theta + cosec theta) ^(2) = (1 + sec theta cosec theta) ^(2).

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

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

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

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

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin theta

prove that: (1-tan theta)^2+(1-cot theta)^2=(sec theta - cosec theta)^2

Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

Prove the following identity : (sin theta+ sec theta)^2 +(cos theta+ cosec theta)^2= (1+ sec theta cosec theta)^2 .