The value of cos 1° cos 2° cos 3°

Question:

The value of cos 1° cos 2° cos 3° _______cos 179° is ____________.

Solution:

cos 1° cos 2° cos 3° ....... cos 179°

= cos 1° cos 2° cos 3° ......... cos 90° cos 91° ......... cos 179°

= cos 1° × cos 2° × cos 3° ..... × 0 × cos 91° .......... cos 179°    (∵ cos 90° = 0)

= 0 × finite

= 0

Hence, cos 1° cos 2° cos 3° ......... cos 179° = 0

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