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Question
The value of cos1° cos2° cos3° ... cos179° is ______.
Options
`1/sqrt(2)`
0
1
–1
Solution
The value of cos1° cos2° cos3° ... cos179° is 0.
Explanation:
Given expression is cos1° cos2° cos3° ... cos179°
⇒ cos1° . cos2° . cos3° ... cos90° . cos91° ... cos179°
⇒ 0 ....[∵ cos90° = 0]
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