(sin theta+cosec theta)^(2)+(cos theta+sec theta)^(2)=7+tan^(2)theta+cot^(2)theta

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:

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

Prove the following identities: (tan theta-cot theta)/(sin theta cos theta)=sec^(2)theta-cos ec^(2)theta=tan^(2)theta-cot^(2)theta

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

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

If ((sin theta-cosec theta)(cos theta- sec theta))/(tan^2 theta-sin^2 theta)=r^3 , then r=? यदि ((sin theta-cosec theta)(cos theta- sec theta))/(tan^2 theta-sin^2 theta)=r^3 है, तो r = ?

Prove that ((1+cot theta +tan theta)(sin theta - cos theta))/(sec ^3 theta -cosec^3 theta) = sin^2 theta cos^2 theta.