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  4. The value of sin 600° cos 330°+ cos 120° sin 150° is

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Q. The value of $\sin 600^{\circ} \cos 330^{\circ}+\cos 120^{\circ} \sin 150^{\circ}$ is

Trigonometric Functions

Solution:

$\sin 600^{\circ} \cos 330^{\circ}+\cos 120^{\circ} \sin 150^{\circ}$
$=-\sin 60^{\circ} \cos 30^{\circ}-\sin 30^{\circ} \cos 60^{\circ}$
$=-\left\{\sin \left(60^{\circ}+30^{\circ}\right)\right\}=-1$