[" 18.If "sin theta+cos theta=m" and "sec theta+csc theta=n," then "],[" prove that "n(m^(2)-1)=2m.]

If sin theta + cos theta = m and sec theta + "cosec" theta = n, prove that n(m^(2)-1) = 2m.

If sin theta + cos theta = m and sec theta + " cosec " theta = n then

If m= sin theta+ cos theta and n= sec theta+cosec theta , prove that n (m + 1) (m-1) = 2m .

If sin theta+cos theta=m and sec theta+cos ec theta=n then n(m+1)(m-1) equals

If sin theta + cos thea = m and sec theta+ cosec theta = n , then n (m + 1) (m - 1) =

If sintheta +cos theta =m and sec theta + cosec theta =n then n(m+1)(m-1) equals

If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3) , then prove that m^(2)n^(2)(m^(2)+n^(2))=1.

If " cosec"theta-sin theta=m and sec theta-cos theta=n , then prove that (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=1.