1.

4cosxcos(π\3+x) cos(π\3-x) =cos3x​

Answer»

Answer:

{2 cos A cos B = cos (A + B) + cos (A – B)}

= 2 cos X {cos 120° + cos 2X}

= 2 cos x {cos (180° - 60°) + cos 2x}

{cos (180° - A) = - cos A}

= 2 cos x (cos 2x - cos 60°)

= 2 cos 2x cos x – 2 cos x cos 60°

= cos 3x + cos x – cos x

= cos 3x = R.H.S.

Hence Proved

Step-by-step explanation:

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