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The value of $\cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \ldots \cos 179^{\circ}$ is A. $1 / \sqrt{2}$ B. $0$ C. $1$ D. $-1$
The value of $\cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \ldots \cos 179^{\circ}$ is A. $1 / \sqrt{2}$ B. $0$ C. $1$ D. $-1$
CBSE | Class 11 | Maths | NCERT Exemplar | Trigonometric Functions
The value of $\cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \ldots \cos 179^{\circ}$ is A. $1 / \sqrt{2}$ B. $0$ C. $1$ D. $-1$

Solution:

Option (B) 0 is correct.

Explanation:

As per the question,

As $\cos 90^{\circ}=0$

We have,

$\Rightarrow \cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \ldots \cos 90^{\circ} \ldots \cos 179^{\circ}=0$

As a result, option (B) 0 is the correct answer.

i

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