(-3)^(x)(sin theta+csc theta)^(2)+(cos theta+sec theta)^(2)=7+tan^(2)theta+cot^(2)theta

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

(sec theta+csc theta)^(2)-(tan theta+cot 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 + " cosec " theta )^(2) + ( cos theta + sec 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 : (sin theta + sec theta) ^(2) + (cos theta + cosec theta) ^(2) = (1 + sec theta cosec theta) ^(2).

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)

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