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^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 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

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

Prove that: sin2A+2sin4A+sin6A=4cos^(2)A.sin4A

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

If A+B+C=pi , prove that sin 2A-sin 2B+sin 2C=4cos Asin B cos C.

If A+B+C =pi , prove that sin 2A+sin 2B+sin 2C=4 sin Asin B sin C.

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

If A+B+C=(pi)/(2) ,prove that: sin 2A+"sin" 2B+"sin" 2C=4 cosA cos B cos C.

If cos A+cos B=(1)/(2) and sin A+sin B=(1)/(4) prove that: tan((A+B)/(2))=(1)/(2)