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(cot theta sec theta)^2-(cos theta. cose...

`(cot theta sec theta)^2-(cos theta. cosec theta)^2=1`

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

If (sin theta+ cosec theta)^2+(cos theta+sec theta)^2=k+tan^2 theta+cot^2 theta , then the value of k is equal to:

(sin theta+sec theta)^(2)+(cos theta+csc theta)^(2)=(1+cos ec theta sec theta)^(2)

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

Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(2)=(7+ tan^(2) theta + cot^(2) 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 (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=