Question 117

The value of $$cos\ 1^\circ\ cos\ 2^\circ\ cos\ 3^\circ...\ cos\ 180^\circ\ is$$

Solution

$$cos\ 1^\circ\ cos\ 2^\circ\ cos\ 3^\circ...\ cos\ 180^\circ\ $$

We know that $$cos\ 90^{\circ} = 0$$

$$cos\ 1^\circ\ cos\ 2^\circ\ cos\ 3^\circ..........cos\ 90^\circ..............\ cos\ 180^\circ\ $$

$$cos\ 1^\circ\ cos\ 2^\circ\ cos\ 3^\circ..........(0)..............\ cos\ 180^\circ\ $$

When 0 is multiplied with anything it is always '0'

Hence, option B is the correct answer.

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