" (i) "sin x sin2x cos3x

Prove : int sin x sin 2x cos 3x dx = 1/4 ((sin 2x)/2 + (sin 4x)/4 - (sin 6x)/6- x ) + c

Find integration sin x sin2x cos3x

(sin3x + sin x) sin x + (cos3x-cos x) cos x = 0

Prove that sin2x + sin8x = 2sin5x cos3x

Find all values of a' for which every root of the quation,a cos2x+|a|cos4x+cos6x=1 is also a root of the equation,sin x cos2x=sin2x cos3x-(1)/(2)sin5x, and conversely,every root of the second equation is also a root of the first equation.

The general solution of sinx - 3 sin 2x + sin3x = cos x - 3 cos 2x + cos 3x is.

Find the general solution of sin x-3 sin 2x+ sin 3x= cos x - 3 cos 2x + cos 3x.

Show that the general solution of sin x- 3 sin 2x+sin 3x= cos x-3 cos 2x+ cos 3x " is " ( n pi)/(2)+ (pi)/(8) , where n is any integer.

Prove that: (i) sin 3x+"sin" 2x-"sin" x = 4 sin x cos((x)/(2))cos((3x)/(2)) (ii) ("sin" 3x+"sin" x)"sin" x+(cos 3x-cos x)cos x=0.