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Select the correct option from the given alternatives: The value of the expression cos1°. cos2°. cos3° … cos179° = - Mathematics and Statistics

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Question

Select the correct option from the given alternatives:

The value of the expression cos1°. cos2°. cos3° … cos179° =

Options

  • – 1

  • 0

  • `1/sqrt(2)`

  • 1

MCQ
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Solution

0

Explanation:

cos1° cos2° cos3° … cos179°

= cos1° cos2° cos3° ... cos90° … cos179°  

= 0  ...[∵ cos90° = 0]

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Trigonometric Functions of Specific Angles
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Chapter 2: Trigonometry - 1 - MISCELLANEOUS EXERCISE - 2 [Page 32]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 2 Trigonometry - 1
MISCELLANEOUS EXERCISE - 2 | Q I) 1) | Page 32
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