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  4. cos 1° ⋅ cos 2° ⋅ cos 3° ldots ldots cos 179°=

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Q. $\cos 1^{\circ} \cdot \cos 2^{\circ} \cdot \cos 3^{\circ} \ldots \ldots \cos 179^{\circ}=$

MHT CETMHT CET 2018

Solution:

$\cos 1^{\circ} \cdot \cos 2^{\circ} \cdot \cos 3^{\circ} \ldots . $
$\cos 90^{\circ} \cos 91^{\circ} \ldots . . \cos 179^{\circ} $
$=0 \left[\because \cos 90^{\circ}=0\right]$