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^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^(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, Prove that: sin^(4)A+sin^(4)B=2sin^(2)A sin^(2)B

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

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

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

If (cos ^ (4) x) / (cos ^ (2) y) + (sin ^ (4) x) / (sin ^ (2) y) = 1 then prove that (cos ^ (4) y) / (cos ^ (2) x) + (sin ^ (4) y) / (sin ^ (2) x) = 1

sin^(2)A cos^(2)B-cos^(2)A sin^(2)B=sin^(2)A-sin^(2)B

If A+B+C=pi then prove that sin2A-sin2B+sin2C=4cos A sin B cos C

sin^4A-cos^4A=2sin^2A-1=1-2cos^2A=sin^2A-cos^2A