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Question
Write the value of cos 1° cos 2° cos 3° ....... cos 179° cos 180°.
Sum
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Solution
Given that: `cos 1° cos 2° cos3°...... cos179° cos 180°`
= `cos1° cos 2° cos 3°.... cos 179° cos 180°`
= `cos1° cos2° cos 3°....cos 89° cos90° cos 91° cos 179 cos 180`
= `cos1° cos2° cos 3°.....cos89°xx0..... cos 179° cos 180°`
= `0`
cos 90° = 0
Hence the value of cos 1° cos 2° cos 3°..... cos 179° cos 180° is 0.
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