If `cosec theta-sin theta=I and sec theta-cos theta-cos theta=m,` prove that `I^1m^2(I^2+m^2+3)=1`

If cos ec theta-sin theta=I and sec theta-cos theta=m then prove that I^(2)m^(2)(I^(2)+m^(2)+3)=1

If csc theta-sin theta=l and sec theta-cos theta=m prove that l^(2)m^(2)(l^(2)+m^(2)+3)=1

If cosec theta- sin theta= a^3, sec theta- cos theta= b^3 , prove that a^2b^2(a^2+b^2)=1 .

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 , prove that: (m^(2)n)^(2/3)+(n^(2)m)^(2/3)=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.

If cos ec theta-sin theta=m and sec theta-cos theta=n prove that (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=1

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

Prove that cos^2 theta cosec theta+sin theta=cosec theta

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