The value of $cos 60^{\circ} cos 30^{\circ} - sin 60^{\circ} sin 30^{\circ}$

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Solution

The correct option is C 0
$cos 30^{\circ} \cdot cos 60^{\circ} - sin 60^{\circ} \cdot sin 30^{\circ} = 0$
L.H.S: $sin (90 - 60)^{\circ} \cdot sin (90 - 30)^{\circ} - sin 60^{\circ} \cdot sin 30^{\circ}$
$sin 60 sin 30 - sin 60 sin 30$
$= 0$

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