`(sin^(3)A+cos^(3)A)/(sin A+cos A)+(sin^(3)A-cos^(3)A)/(sin A-cos A)=2`

(sin^(3)x+cos^(3)x)/(sin x+cos x)+(sin^(3)x-cos^(3)x)/(sin x-cos x)=2

(sin A+cos A)(1-sin A*cos A)=sin^(3)A+cos^(3)A

2sin A cos^(3)A-2sin^(3)A cos A=

Prove that (sin A+cos A)(1-sin A cos A)=sin^(3)A+cos^(3)A

Prove the following identity: (1-s in A cos A)/(cos A(sec A-cos ecA))(sin^(2)A-cos^(2))/(sin^(3)A+cos^(3)A)=sin A

sin^(3)A sin3A+cos^(3)A cos3A=cos^(3)(2A)

3. (sin x+cos x)(1-sin x cos x)=sin^(3)x+cos^(3)x

If sin A+cos A=m and sin^(3)A+cos^(3)A=n then

(cos^3 A+sin^3 A) / (cos A+sinA) + (cos^3A-sin^3A) / (cos A-sin A) =2

(sin^(2)3A)/(sin^(2)A)-(cos^(2)3A)/(cos^(2)A)=