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Elodia [21]
3 years ago
6

Please solve this problem ​

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

(4) 0

Step-by-step explanation:

<u>Given:</u>

  • cos²27°×cos²34°×...×cos²167 = ?

<u>Looking at the angles measures, they form series of: </u>

  • 27, 34, 41, ..., 167

This is AP with the first term of 27 and common difference of 7

<u>We can see one of the terms of this AP is 90</u>

  • 27+9*7 = 27 + 63 = 90

Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.

<u>So correct answer choice is</u>  Option 4) 0

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