" (76) If "csc theta-sin theta=a^(3),sec theta-cos theta=b^(3)," prove that "a^(2)b^(2)(a^(2)+b^(2))=1quad " [HOTS] "

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

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

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

If Cosec theta - Sin theta = a^(3), Sec theta - Cos theta = b^(3) then a^(2) b^(2) (a^(2) + b^(2))=

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, Prove that a^(2)+b^(2)=m^(2)+n^(2)

If x=cosec theta-sin theta and y=sec theta-cos theta then prove that x^(2/3)+y^(2/3)=(xy)^(-2/3)