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Question: \[\cos 1{^\circ}.\cos 2{^\circ}.\cos 3{^\circ}.........\cos 179{^\circ} =\]...

cos⁡1∘.cos⁡2∘.cos⁡3∘.........cos⁡179∘=\cos 1{^\circ}.\cos 2{^\circ}.\cos 3{^\circ}.........\cos 179{^\circ} =

A

0

B

1

C

2

D

12\frac{1}{2}

Answer

0

Explanation

Solution

We know that one of the factor of the given expression is cos⁡90∘=0\cos 90{^\circ} = 0.

Therefore cos⁡1∘.cos⁡2∘.cos⁡3∘...cos⁡179∘=0\cos 1{^\circ}.\cos 2{^\circ}.\cos 3{^\circ}...\cos 179{^\circ} = 0.