prove that: EXAMPLE 15 If a cos x + 3a cos x sinx =m and a sin 3x + 3a cos? x sin x =n, then (m + n)2/3 + (m - n)2/3 = 242/3.

If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

If a cos^(3)x+3a cos x sin^(2)x=m and a sin^(3)x+3a cos^(2)x sin x=n, then prove that (m+n)^((2)/(3))+(m-n)^((2)/(3))=2a^((2)/(3))

If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3alpha sin^3alpha = n then (m + n)^(2/3) + (m-n)^(2/3)

If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3alpha sin^3alpha = n then (m + n)^(2/3) + (m-n)^(2/3)

If x cos A + y sin A = m and x sin A - y cos A = n, then prove that : x^(2) + y^(2) = m^(2) + n^(2)

Prove that: (sin 3 x +sin x) sin x + (cos 3x - cos x) cos x = 0

Prove that : (sin x + sin 3x)/(cos x + cos 3x) = tan 2x

Prove that: (sin 3x + sin x) sin x + (cos 3x -cos x) cos x = 0

prove that [2(sin^3 x - cos^3 x )/(sinx -cosx)]-sin2x=2