If `(cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1`, then prove that
(i) `sin^4A+sin^4B=2 sin^2Asin^2B`
(ii) `(cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1`

If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then prove that (i)sin^4A+sin^4B=2sin^2Asin^2B (ii)(cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

If (cos^(4)A)/(cos^(2)B)+(sin^(4)A)/(sin^(2)B)=1 Prove that :

If (cos^(4)A)/(cos^(2)B)+(sin^(4)A)/(sin^(2)B)=1 then prove that (i)sin^(2)A+sin^(2)B=2sin^(2)A sin^(2)B(ii)(cos^(4)B)/(cos^(2)A)+(sin^(4)B)/(sin^(2)A)=1

If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then prove that (cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

If (cos^4 A)/(cos^2 B) + (sin^4 A)/(sin^2 B) =1 , Prove that: sin^4 A+sin^4 B=2 sin^2 A sin^2 B

If (cos^(4)A)/(cos^(2)B)+(sin^(4)A)/(sin^(2)B)=1, Prove that: sin^(4)A+sin^(4)B=2sin^(2)A sin^(2)B

It (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then show that (cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

Prove that (sin^Acos^B-cos^2Asin^2B)=(sin^2A-sin^2B)

If A+B+C=(pi)/(2) , then prove that cos 2A + cos 2B + cos 2C=1+4 sin A sin B sin C .