Question:

The value of cos1°cos 2°…… cos180° is

Updated On: Apr 5, 2025
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The Correct Option is B

Solution and Explanation

We are tasked with finding the value of \( \cos 1^\circ \cos 2^\circ \cdots \cos 180^\circ \).

Step 1: Analyze the product.

The product involves all cosine values from \( \cos 1^\circ \) to \( \cos 180^\circ \). A key observation is that \( \cos 90^\circ = 0 \).

Step 2: Impact of \( \cos 90^\circ = 0 \).

Since one of the terms in the product is \( \cos 90^\circ = 0 \), the entire product becomes zero. This is because multiplying any number by zero results in zero.

Final Answer: The value of \( \cos 1^\circ \cos 2^\circ \cdots \cos 180^\circ \) is \( \mathbf{0} \).

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