Prove that : `cos^6 A- sin^6 A = cos 2A (1- 1/4 sin^2 2A)`

Prove that cos^6 theta-sin^6theta=cos2theta(1-1/4 sin^2 2 theta)

cos ^ (6) A-sin ^ (6) A = cos2A (1- (1) / (4) sin ^ (2) 2A)

Prove that 2 (sin ^ (6) A + cos ^ (6) A) -3 (sin ^ (4) A + cos ^ (4) A) + 1 = 0

Prove that: sin^(6) theta + cos^(6) theta =1 - 3 sin^(2) theta cos^(2) theta

Prove that: (cos 2A cos 3A -cos 2A cos 7A + cos A cos 10A)/("sin" 4A sin 3A - sin 2A sin 5A + sin 4A sin 7A) = cot 6A cot 5A

Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

Prove that (1 + sin A) / (cos A) + (cos B) / (1-sin B) = (2sin A-2sin B) / (sin (AB) + cos A-cos B)

Prove that (1 + sin2A) / (cos2A) = (cos A + sin A) / (cos A-sin A)

Prove that (1+sin2A)/(cos2A)=(cos A+sin A)/(cos A-sin A)=tan((pi)/(4)+A)

Prove that (1)sin2A=2sin A cos A(2)cos2A=cos^(2)A-sin^(2)A