Solve the following equations:(i) cos x+cos 2x+cos 3x=0(ii) cos x+cos 3x-cos 2x=0(iii) sin x+sin 5x=sin 3x(iv) cos x cos 2x cos 3x=14(v) cos x+sin x=cos 2x+sin 2x(vi) sin x+sin 2x+sin 3=0(vii) sin x+sin 2x+sin 3x+sin 4x=0(viii) sin 3x-sin x=4 cos2 x-2(ix) sin 2x-sin 4x+sin 6x=0

Solve the following equations:(i) cos x+cos 2x+cos 3x=0(ii) cos x+cos

1.	Solve the following equations:(i) cos x+cos 2x+cos 3x=0(ii) cos x+cos 3x-cos 2x=0(iii) sin x+sin 5x=sin 3x(iv) cos x cos 2x cos 3x=14(v) cos x+sin x=cos 2x+sin 2x(vi) sin x+sin 2x+sin 3=0(vii) sin x+sin 2x+sin 3x+sin 4x=0(viii) sin 3x-sin x=4 cos2 x-2(ix) sin 2x-sin 4x+sin 6x=0
Answer» Solve the following equations: (i) $\cos x + \cos 2 x + \cos 3 x = 0$ (ii) $\cos x + \cos 3 x - \cos 2 x = 0$ (iii) $\sin x + \sin 5 x = \sin 3 x$ (iv) $\cos x \cos 2 x \cos 3 x = \frac{1}{4}$ (v) $\cos x + \sin x = \cos 2 x + \sin 2 x$ (vi) $\sin x + \sin 2 x + \sin 3 = 0$ (vii) $\sin x + \sin 2 x + \sin 3 x + \sin 4 x = 0$ (viii) $\sin 3 x - \sin x = 4 \cos^{2} x - 2$ (ix) $\sin 2 x - \sin 4 x + \sin 6 x = 0$