Question:
The value of
\( \cos 1^\circ \cos 2^\circ \dots \cos 100^\circ \)
is:
The value of
\( \cos 1^\circ \cos 2^\circ \dots \cos 100^\circ \)
is:
Show Hint
In a long product of trigonometric functions, always look for specific values like $\sin 0^{\circ}$, $\cos 90^{\circ}$, or $\tan 0^{\circ}$.
Updated On: Apr 8, 2026
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The Correct Option is C
Solution and Explanation
Step 1: Concept
Check if any of the terms in the product equals zero.
Step 2: Analysis
The sequence includes $\cos 1^{\circ}, \cos 2^{\circ}, \dots, \cos 90^{\circ}, \dots, \cos 100^{\circ}$.
We know $\cos 90^{\circ} = 0$.
Step 3: Conclusion
Since one term is zero, the entire product is zero.
Final Answer: (C)
Check if any of the terms in the product equals zero.
Step 2: Analysis
The sequence includes $\cos 1^{\circ}, \cos 2^{\circ}, \dots, \cos 90^{\circ}, \dots, \cos 100^{\circ}$.
We know $\cos 90^{\circ} = 0$.
Step 3: Conclusion
Since one term is zero, the entire product is zero.
Final Answer: (C)
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