Trigonometric Identities Question 225

Question: $ \cos 1{}^\circ .\cos 2{}^\circ .\cos 3{}^\circ ………\cos 179{}^\circ = $

[Karnataka CET 1999; DCE 2005]

Options:

A) 0

B) 1

C) 2

D) $ \frac{1}{2} $

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Answer:

Correct Answer: A

Solution:

We know that one of the factor of the given expression is $ \cos 90{}^\circ =0 $ . Therefore $ \cos 1{}^\circ .\cos 2{}^\circ .\cos 3{}^\circ …\cos 179{}^\circ =0 $ .