Question

The value of cos1°cos 2°…… cos180° is

• A. 1
• B. 0
• C. -1
• D. None of these

Answer 1

The Correct Option is B

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 \( \mathbf{0} \).