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Question

Write the value of cos 1° cos 2° cos ³° ...cos 179° cos 180°


Solution

Cos 1 × cos 2 × cos 3 × ......× cos 179
= cos 1 × cos 2 × cos 3 × .....× cos 90 × ..... × cos 179
= cos 1 × cos 2 × cos 3 × .....× 0 × ..... × cos 179*cos180
= 0 × cos 1 × cos 2 × cos 3 × ....... × cos 179*cos180
= 0

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